CBSE Questions for Class 7 Maths Perimeter And Area Quiz 4 - MCQExams.com

A circular grassy plot of land, 42 m in diameter, has a path 3.5 m wide running around it on the outside. Find the cost graveling the path at Rs 4 per square meter.
  • $$Rs 2002$$
  • $$Rs 2003$$
  • $$Rs 2004$$
  • $$Rs 2000$$
The sides of a triangle are (3p 4) cm, (2p 5) cm and (2p + 5) cm. Which of the following expressions gives its perimeter?
  • (7p 4) cm
  • (5p + 5) cm
  • 5p 7 cm
  • 7p + 4cm
In fig. 3, the area of the shaded region is :

83774.PNG
  • $$\pi \left ( r_1+r_2 \right )$$
  • $$\pi \left ( r_1^{2}+r_2^{2} \right )$$
  • $$\pi \left ( r_1-r_2 \right )$$
  • $$\pi \left ( r_2^{2}-r_1^{2} \right )$$
If the base of a parallelogram is $$8\ cm$$ and its altitude is $$5\ cm$$, then its area is equal to
  • $$15\ cm^{2}$$
  • $$20\ cm^{2}$$
  • $$40\ cm^{2}$$
  • $$10\ cm^{2}$$
  • Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
  • Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
  • Assertion is correct but Reason is incorrect
  • Assertion is incorrect but Reason is correct
If a circular grass lawn of $$35\ m$$ in radius has a path $$7\ m$$ wide running around it on the outside, then the area of the path is
  • $$1450\ m^2$$
  • $$1576\ m^2$$
  • $$1694\ m^2$$
  • $$3368\ m^2$$
A pond that is $$100$$ m in diameter is surrounded by a circular grass walk that is $$2$$ m wide. How many square meters of grass is there for the walk?
  • $$98 \pi $$
  • $$100 \pi $$
  • $$102 \pi $$
  • $$204 \pi $$
Find the area of a circular ring formed by two concentric circles whose radii are $$5.7\ cm$$ and $$4.3\ cm$$ respectively (Take  $$\pi =3.1416$$)
  • $$43.98$$ sq. cm
  • $$53.67$$ sq. cm
  • $$47.24$$ sq. cm
  • $$38.54$$ sq. cm
If the radius of a circle is $$\displaystyle \frac{7}{\sqrt{\pi}}$$ cm, then the area of the circle is equal to
  • $$\displaystyle \frac{49}{\pi} cm^2$$
  • $$\displaystyle \frac{154}{\pi} cm^2$$
  • $$154 cm^2$$
  • $$49 cm^2$$
A track is in the form of a ring whose inner circumference is $$352\ m$$ and the outer circumference is $$396\ m$$. The width of the track is:
  • $$44\ m$$
  • $$14\ m$$
  • $$22\ m$$
  • $$7\ m$$
If area of circular field is $$6.16 \text{ m}^2$$, then its diameter will be
  • $$6.8 \ \text{m}$$
  • $$2.8 \ \text{m}$$
  • $$12 \ \text{m}$$
  • $$6.84 \ \text{m}$$
A circular grassy plot of land, $$42\ m$$ in diameter, has a path $$3.5\ m$$ wide running round it on the outside. Find the cost of gravel ling the path at Rs. $$4$$ per square metre.
  • Rs. $$2002$$
  • Rs. $$2003$$
  • Rs. $$2004$$
  • Rs. $$2000$$
A certain right angled triangle has its area numerically equal to its perimeter. The length of its each side is an even integer. What is the perimeter?
  • $$24\ units$$
  • $$36\ units$$
  • $$32\ units$$
  • $$30\ units$$
The adjacent sides of a parallelogram are 10 cm and 12 cm. The diagonal joining the ends of these sides is 14 cm. Its area is
  • $$48 \sqrt{6}$$ $$cm^2$$
  • $$48 \sqrt{5}$$ $$cm^2$$
  • $$48 \sqrt{3}$$ $$cm^2$$
  • none of these
The circumference of a circular ground is $$88$$ metres. A strip of land, $$3$$ metres wide, inside and along circumference of the ground is to be levelled. What is the budgeted expenditure if the levelling costs Rs. $$7$$ per square metre?
  • $$1050$$
  • $$1125$$
  • $$1325$$
  • $$1650$$
A flooring tile has the shape of a parallelogram whose base is $$24\: cm$$ and the corresponding height is $$10\: cm$$. How many such tiles are required to cover a floor of area $$1080$$ $$m^2$$? 
  • $$20000$$
  • $$35000$$
  • $$45000$$
  • $$65000$$
The cost of fencing a circular field at the rate of $$Rs\:.240\: per\: metre$$ is $$Rs. \: 52,800$$ . The field is to be ploughed at the rate of $$Rs. 12.50 \: per \: m^{2}$$. Find the cost of ploughing the field.
  • $$Rs. \:48,125$$
  • $$Rs. \:38,125$$
  • $$Rs. \:10,125$$
  • $$Rs. \:11,125$$
The circumference of a circular field is $$308\:m$$ . Find its area.
  • $$7546 \: m^{2}$$
  • $$6546 \: m^{2}$$
  • $$7046 \: m^{2}$$
  • $$7846 \: m^{2}$$
The diameter of a circle is $$28 \:cm$$. Find its area.
  • $$616 \: cm^{2}$$
  • $$516 \: cm^{2}$$
  • $$116 \: cm^{2}$$
  • $$216 \: cm^{2}$$
The diagram, given below, shows two paths drawn inside a rectangular field 80 m long and 45 m wide. The widths of the two oaths are 8 m and 15 m as shown. Find the area of the shaded portion.
196074.jpg
  • $$1195\, m^{2}$$
  • $$8895\, m^{2}$$
  • $$1155\, m^{2}$$
  • $$1895\, m^{2}$$
Find the length and the breadth of the lawn.
196098.jpg
  • 26 m and 10 m
  • 35 m and 12 m
  • 41 m and 16 m
  • 49 m and 18 m
The shaded portion of the figure, given along side,shows two concentric circles.
If the circumference of the two circles are $$396 \:cm$$ and $$374\: cm$$, find the area of the shaded portion.

187987_d81918329c4b480b8f673d77264b571d.png
  • $$1347.5 \: cm^{2}$$
  • $$1047.5 \: cm^{2}$$
  • $$2347.5 \: cm^{2}$$
  • $$1247.5 \: cm^{2}$$
The area of a circle is $$394.24$$ $$cm^2$$.  What is  the radius of the circle ?
  • $$11.2 cm$$
  • $$12.1 m$$
  • $$13.5 m$$
  • $$15.0 m$$
The circumference of a circular field is $$308 m$$, Find its Area.
  • $$7050 m^2$$
  • $$7546 m^2$$
  • $$7946 m^2$$
  • $$8129 m^2$$
The diameter of a circle is $$28 cm$$. Find its circumference
  • $$32 cm$$
  • $$48 cm$$
  • $$88 cm$$
  • $$98 cm$$
A floor which measures $$15m\, \times\, 8m$$ is to be laid with tiles measuring $$50cm\, \times\, 25cm$$. Find the number of tiles required.
Further, if a carpet is laid on the floor so that a space of 1 m exists between its edges and the edges of the floor, what fraction of the floor is uncovered.
  • $$960; \displaystyle \frac{7}{20}$$
  • $$860; \displaystyle \frac{20}{7}$$
  • $$760; \displaystyle \frac{7}{13}$$
  • $$660; \displaystyle \frac{7}{15}$$
The radii of two circles are $$25\ cm$$ and $$18\ cm$$. Find the radius of the circle which has a circumference equal to the sum of the circumference of these two circles.
  • $$43\ cm$$
  • $$12\ cm$$
  • $$34\ cm$$
  • $$40\ cm$$
The area enclosed by the circumferences of two concentric circles is $$346.5\, cm^2$$. If the circumference of the inner circle is $$88$$ cm, then the radius of the outer circle is
  • $$88$$ cm
  • $$17.5$$ cm
  • $$35$$ cm
  • $$9.3$$ cm
The diameter of a circle is $$28 cm$$. Find the one-fourth of its area.
  • $$389 cm^{2}$$
  • $$512 cm^{2}$$
  • $$616 cm^{2}$$
  • $$154 cm^{2}$$
Area of the shaded region is
272112_990ede264f734d1db1053edfc07b6166.png
  • $$96\ m^2$$
  • $$15\ m^2$$
  • $$81\ m^2$$
  • $$111\ m^2$$
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