Perimeter and Area Class 8 Worksheet 1 with Answers
1. A rhombus and a parallelogram are equal in area. If the base and
height of the parallelogram measure 15 cm and 8 cm, respectively, and one of
the diagonals of the rhombus measures 20 cm, find the length of the other
diagonal of the rhombus.
2. If the base of an equilateral triangle is 3
cm, find its area, perimeter and the length of its altitude.
3. The altitude of a right-angled triangle is twice its base. If its
area is 64 cm2, what are the dimensions of the triangle?
4. The length and breadth of a rectangular garden
are in the ratio 7 : 9. A path 2.5 m wide running inside the park has an area
of 185 m2. What are the dimensions of the park?
5. The base of a right-angled triangle is 15 cm and its hypotenuse is
17 cm. Find the area of the triangle.
6. A sidewalk of uniform width runs all around inside the rectangular
garden 35 m long and 20 m wide. If the area of the sidewalk is 550 m2,
then find the width of the side walk.
7.
Find the circumference and the area of the
circle whose
a. diameter = 2.8 cm
b. radius = 7 cm
8. A room is 15 m long and 12 m wide. If the floor is to be covered
with 20 cm long square tiles, how many tiles will be required? Also, find the
cost of flooring at the rate ₹ 1220 per hundred tiles.
9. The base and height of a parallelogram are in the
ratio 4 : 5. If the area of the parallelogram is 80 m2, find the
base and height of the parallelogram.
10.
The length of the parallel sides of a
trapezium is 7.5 cm and 5.5 cm respectively. If the distance between the
parallel sides is 5 cm, find the area of the trapezium.
11. The area enclosed between two concentric
circles is 440 cm2. If the diameter of the outer circle is 24 cm,
find the diameter of the inner circle.
12.
A field is in the shape of an isosceles
trapezium with the length of parallel sides as 6 m and 14 m and the length of
each non-parallel sides is 5 m. Find the area of the field and the cost of
levelling the field at the rate of ₹ 70 per m2.
13. The areas of two circles are in the ratio 9 : 16.
Find the ratio of their circumferences.
Perimeter and Area Class 8 Worksheet 2
1.
Find the diameter of a circle whose
circumference is 15.4 cm.
2. A grassy plot is 80 m × 60 m. Two cross paths each 4 m wide are constructed at right angles through the centre of the field such that each path is parallel to one of the sides of the rectangle. Find the total area used as path. Also, find the cost of gravelling them at ₹ 5 per sq. m.
3. The area of a parallelogram is 338 m2. If its altitude is twice the corresponding base, then determine the base and the altitude of the parallelogram.
4.
The sides of a triangle are 12 m, 16 m and 20
m. Find the altitude to its longest side.
5. If the area of a rhombus is 24 cm2 and one of its
diagonals is 8 cm, find the perimeter of the rhombus.
6. The inner circumference of a circular track 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 ₹ 2 per metre.
7.
Find the area of a rectangular plot whose one
side is 48 m and diagonal is 50 m.
8. A wire is in the shape of a square of side 10
cm. If the wire is rebent into a rectangle of length 12 cm, find its breadth.
Which encloses more area the square or the rectangle?
9. ΔABC is an isosceles triangle with AB = AC =
7.5 cm and BC = 9 cm. If the altitude from A to BC i.e., AD is 6 cm, find the
area of ΔABC. What will be the height from C to AB?
10.
Find the length of the wall whose height is 4
m and which will be covered by 2400 tiles of size 25 cm by 20 cm.
11. In the given figure, ABCD is a rectangle of length AB = 40 cm and breadth BC = 25 cm. If P, Q, R and S be the midpoints of the sides AB, BC, CD and DA respectively, find the area of the shaded region.
1. 12
cm
2. Area = 9√3/4
cm2;
Perimeter = 9 cm
Length of altitude = 3√3/2 cm
3. 8 cm, 16
cm, 8√5 cm
4. 18 m by
14 m
5. 60 cm2
6. 6.57 cm
(approx.)
7. a. 8.8
cm; 6.16 cm2
b. 44 cm; 154 cm2
8. 4500; ₹
54,900
9. 8 m, 10
m
10. 32.5 cm2
11. 4 cm
12. 30 m2;
₹ 2100
13. 3 : 4
Worksheet 2
1. 4.9
cm
2. 544 m2;
₹ 2720
3. 13 m; 26
m
4. 9.6 m 5. 20 cm
6. ₹
528 7. 672 m2
8. 8 cm;
Square
9. 27 cm2;
7.2 cm
10. 30 m 11. 500 cm2
12. 616 cm2
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