CBSE Questions for Class 7 Maths Perimeter And Area Quiz 6 - MCQExams.com

Expenditure incurred in cultivating a square field at the rate of Rs. $$170$$ per hectare is Rs. $$680$$. What would be the cost of fencing the field at the rate of Rs. $$3$$ per meter?
  • Rs. $$2400$$
  • Rs. $$3600$$
  • Rs. $$3000$$
  • Rs. $$2000$$
Front side wall of a house consists of a rectangle of $$6$$ m $$\times$$ $$4$$ m surrounded by a semicircle with base $$4$$ m It has two isosceles triangles make with vertical sides of the rectangle The net area of the wall in sq m is :
271577_4e405c6aff7c430982f40c1b752563d0.png
  • $$\displaystyle 4\left ( 15+{\pi } \right )$$
  • $$\displaystyle 4\left ( 18+\pi \right )$$
  • $$\displaystyle 4\left ( 24+\pi \right )$$
  • $$\displaystyle 64+4\pi$$
One side of the square is $$4000$$ meters long. Find is its area in $$km^2$$
  • $$1.6$$ $$km^2$$
  • $$16$$ $$km^2$$
  • $$160$$ $$km^2$$
  • $$1600$$ $$km^2$$
Area _____ increases if we increase the perimeter of square or rectangle.
  • always
  • never
  • may or may not be
  • none of these
Convert:
$$58.23$$ $$cm^2 = $$ ____ $$mm^2$$
  • $$5.823$$
  • $$582.3$$
  • $$5823$$
  • $$58230$$
What is the area of a figure formed by a square of side 8 cm and an isosceles triangle with the base as one side of the square and the other equal sides as 5 cm?
272004_e723675202454100823ba9193028db74.png
  • $$ \displaystyle 70 \ cm^{2}$$
  • $$ \displaystyle 76 \ cm^{2}$$
  • $$ \displaystyle 82 \ cm^{2}$$
  • $$ \displaystyle 64 \ cm^{2}$$
The perimeter of an equilateral triangle and a square are same then $$\displaystyle \frac{area\,  of \Delta }{area\, of\ \square }=$$
  • $$\displaystyle \frac{4}{3}$$
  • $$1$$
  • $$1.5$$
  • $$<1$$
A square and a rectangular field with measurements as given in the following figure have the same perimeter. Which field has a larger area?
301206_230cabd74d844293941f558c9087013c.png
  • Square has larger area, square $$=3600\;m^2$$.
  • Rectangle has larger area, square $$=3600\;m^2$$.
  • Square has larger area, square $$=1600\;m^2$$.
  • Square has larger area, square $$=3800\;m^2$$.
The radius of a circle is $$14 m$$, then the circumference of a circle is
  • $$616 m$$
  • $$88 m$$
  • $$154 m$$
  • none of these
The area of a parallelogram is $$120$$  $$cm^{2}$$ and its altitude is $$10$$ cm. The length of the base is
  • $$24$$ cm
  • $$12$$ cm
  • $$8$$ cm
  • $$4$$ cm
If a wire is bent into the shape of a square, the area of the square is $$81$$ sq cm. When the wire is bent into a semicircular shape, what is the area of the semicircle? $$ \displaystyle \left ( \pi =\frac{22}{7} \right )$$
272668_ced09c5ccf0f43d3b75a838e46ef904b.png
  • $$ \displaystyle 77 \ cm^{2}$$
  • $$80 \ cm^2$$
  • $$75 \ cm^2$$
  • $$70 \ cm^2$$
Find the area of the unshaded portion of figure, the shaded portions being semi-circular regions.
302363_4bc11e75f1fb4653990a082c0eef7062.png
  • $$100.5\;m^2$$.
  • $$101.5\;m^2$$.
  • $$201.5\;m^2$$.
  • $$101.8 \;m^2$$.
The circumference of a circle is $$44 m$$, then the area of the circle is
  • $$6084.5\, m^2$$
  • $$276.5\, m^2$$
  • $$154\, m^2$$
  • $$44\, m^2$$
The area of a circle is $$2464 m^2$$, then the diameter is
  • $$56 m$$
  • $$154 m$$
  • $$176 m$$
  • none of these
It is given that two scalene triangles are not congruent, then we can conclude that both are always equal in area.
  • True
  • False
The inner diameter of a circular building is $$54 cm$$ and the base of the circular wall occupies a space of $$\displaystyle 2464cm^{2}$$. The thickness of the wall is: 
  • $$1 cm$$
  • $$2 cm$$
  • $$4 cm$$
  • $$5 cm$$
$$ABCD$$ is a square field of side $$80\;m$$. If $$EF$$ is perpendicular to $$DC$$, find the area of $$\Delta EDC$$ and the area of the shaded portion respectively.
302285_97ac874182ff45d3837fec6fd43b7ba3.png
  • $$3200\;m^2,\;3200\;m^2$$
  • $$3200\;m^2,\;3500\;m^2$$
  • $$3600\;m^2,\;3200\;m^2$$
  • $$3200\;m^2,\;3600\;m^2$$
Mrs. Kaushik has a square plot with the measurement as shown in the figure. she wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of $$Rs.\;55\;per\;m^2$$.
301217_4e8fbb01d3464e0b8c807f13cf486ed7.png
  • $$Rs.\;17,875$$
  • $$Rs.\;17,675$$
  • $$Rs.\;12,875$$
  • $$Rs.\;17,825$$
In figure, $$AB$$ and $$CD$$ are two perpendicular diameters of a circle with centre $$O$$. If $$OA$$$$=$$$$7cm$$, find the area of the shaded region. [Use $$\pi=\displaystyle\frac{22}{7}$$]
329954_3af856701c1e4d4ab12822f4a91d0685.png
  • $$31.4cm^2$$
  • $$42.5cm^2$$
  • $$54.2cm^2$$
  • $$66.5cm^2$$
If the diameter of a semicircular protractor is $$14cm$$ then find its perimeter.
  • $$36cm$$
  • $$76cm$$
  • $$112cm$$
  • $$162cm$$
The area of the shaded portion in the given figure is
321690_20d8d44fc2894fb9b805e6490d0b8b1f.png
  • $$7.5\pi$$ sq.units
  • $$6.5\pi$$ sq.units
  • $$5.5\pi$$ sq.units
  • $$4.5\pi$$ sq.units
Find the area of a circle whose circumference is $$22cm$$.
  • $$35.2cm^2$$
  • $$38.5cm^2$$
  • $$41.7cm^2$$
  • $$47.6cm^2$$
If the radius of circle is $$\displaystyle \pi $$, then its area will be:
  • $$\displaystyle \pi $$
  • $$\displaystyle { \pi }^{ 2 }$$
  • $$\displaystyle { \pi }^{ 3 }$$
  • $$\displaystyle 3\pi $$
Which of the following has least area?
1946632_cf2e7bb0a0dc4ee99806a98fdcd7464c.jpg
  • $$A1$$
  • $$A2$$
  • $$A3$$
  • None of these
Richa wants to add a rectangular stone in her ring of length $$2$$ $$cm$$ and breadth $$1.5$$ $$cm$$. Find the area of stone in millimetrrs.
  • $$0.3$$ $$mm^2$$
  • $$3$$ $$mm^2$$
  • $$30$$ $$mm^2$$
  • $$300$$ $$mm^2$$
The inner circumference of a circular tracks is $$220\ m$$. The track is $$7$$ $$m$$ wide everywhere. Calculate the cost of putting up a fence along the outer circle at the rate of Rs. $$2$$ per metre. Use $$\pi=\displaystyle\frac{22}{7}$$
  • Rs. $$947$$
  • Rs. $$726$$
  • Rs. $$612$$
  • Rs. $$528$$
The radii of two circles are $$8$$cm and $$6$$cm respectively. Find the radius of the circle having its area equal to the sum of the areas of the two circles.
  • $$32cm$$
  • $$23cm$$
  • $$15cm$$
  • $$10cm$$
Abhay made a straight cut through a circular rubber band and then laid the rubber band flat, as shown in the figure.
Which measure corresponds to the length of the cut rubber band ?
313126.png
  • Chord
  • Circumference
  • Diameter
  • Radius
In the figure shown here, $$BDEC$$ is a rectangle. $$ABC$$ and $$DEF$$ are straight lines. The area, in cm$$^2$$ , of the whole figure is ______ .
313196_07297c556fa44058b9ec0cfa13015106.png
  • $$120$$
  • $$128$$
  • $$136$$
  • $$142$$
The areas of two concentric circles forming a ring are 154 sq. cm and 616 sq. cm. The breadth of the ring is
  • $$21 \ cm$$
  • $$56 \ cm$$
  • $$14 \ cm$$
  • $$7 \ cm$$
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