cos 1

π θ 2 of
Plane Figures x 2 18
Perimeter and Area
7 + y2
Q1. Two squares of side 5 cm each are joined side-by-side to form a rectangle. Find
the perimeter of the resulting rectangle.
Answer: _______________

Q2. Out of the following tick the one having maximum perimeter:
a. A rectangle of length 10 cm and breadth 15 cm
b. A square of side 20 cm
c. An equilateral triangle of side 15 cm

Q3. Match the following figures with their perimeters:

Square Sum of the lengths of all three sides

Equilateral triangle 8 × length of one side
Scalene triangle 4 × length of one side
A regular octagon 3 × length of one side

Q4. The following table shows the length of the sides of a square and rectangle. If
both of them(square and rectangle) have the same perimeter, fill in the missing
entries in the table.

Side of square Length of rectangle Breadth of rectangle Perimeter of square

and rectangle
6 cm 8 cm ________ __________
______ cm 10 cm 5 cm __________

Q5. Two wires of length 120 m each was bent to form a square and an equilateral
triangle. Find the measure of each side of the square and the triangle.
Answer: Measure of each side of the square : ____ m
    Measure of each side of the equilateral triangle : ____ m

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Chapter 18-Perimeter and Area of Plane Figures-2.indd 1 9/10/2017 12:25:38 PM

 Q6. The length and breadth of a rectangle are in the ratio 5:2. If the perimeter of
the rectangle is 98 m, find the dimensions of the rectangle.
Answer: Length of rectangle: ____ m
    Breadth of rectangle: ____ m

Q7. The perimeter of a rectangular table top is 200 cm. If the length of the table top
is 55 cm, find the width and area of the table.
Answer: Width of the table: _____
    Area of the table: _____

Q8. The area of a square is 400 m2. If the measure of each side of the square is
doubled, find the area of the new bigger square.
Answer: ________________

Q9. The gardener wants to make a square flower bed in the middle of a rectangular
garden measuring 5 m by 4m as shown in the figure below. In the rest of the
area he wants to plant ornamental shrubs. If each side of the flower bed is 1.5 m
long, find the area of the following:
a. Area in which he will plants flowers
b. Area in which he will plant ornamental shrubs
5m

4m
1.5 m

Answer:
a. Area in which he will plants flowers : _______
b. Area in which he will plant ornamental shrubs : _______

Q10. The side of a square park is 225 m. Find the cost of:
a. Fencing it at the rate of ` 7 per metre
b. Leveling it at the rate of ` 12 per m2
Answer: Cost of fencing it at the rate of ` 7 per metre : ___________
    Cost of leveling it at the rate of ` 12 per m2 : __________

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Chapter 18-Perimeter and Area of Plane Figures-2.indd 2 9/10/2017 12:25:38 PM

 ANSWERS
1. 30 m
2. (b)
3.
Square 4 × length of one side
Equilateral triangle 3 × length of one side
Scalene triangle Sum of the lengths of all three sides
A regular octagon 8 × length of one side

4.
Side of square Length of rectangle Breadth of rectangle Perimeter of square
and rectangle
6 cm 8 cm 4 cm 24 cm
7.5 cm 10 cm 5 cm 30 cm

5. Measure of each side of the square : 30 m

Measure of each side of the equilateral triangle : 40 m

6. Length of rectangle: 35 m
Breadth of rectangle: 14 m

7. Width of the table: 45 cm

Area of the table: 2475 cm2

8. 1600 m2

9. a. Area in which he will plants flowers : 2.25 m2

b. Area in which he will plant ornamental shrubs :17.75 m2
10. a. `6300
b. `6,07,500

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Chapter 18-Perimeter and Area of Plane Figures-2.indd 3 9/10/2017 12:25:38 PM