Heron`s Formula Test

Result

Heron`s Formula Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

Perimeter of a rectangle is 18 cm. If its length is 4 cm, which of the following measures represents its breadth?

A
14 cm

B
4.5 cm

C
5 cm

D
10 cm

Solution

Perimeter of rectangle = 2 (l + b), where l = length of rectangle and b = breadth of rectangle
^⇒ 18 cm = 2 (l + b)
⇒ 18 cm = 2(4 + b)
⇒ 18/2 = (4 + b)
⇒ 9 = 4 + b
⇒ 9 – 4 = b
⇒ b = 5 cm
Question 2
1 / -0

Perimeter of a rectangle is 28 cm. If the length of rectangle is 4 cm more than its breadth, find the length of the rectangle.

A
5 cm

B
9 cm

C
13 cm

D
16 cm

Solution

Let the breadth of the rectangle be 'b' cm.
Length of the rectangle = b + 4 cm

Perimeter = 2(l + b)
28 = 2(b + 4 + b)

28/2 = 2b + 4
14 = 2b + 4

14 – 4 = 2b
⇒ b = 10/2
⇒ b = 5 cm

So, length of rectangle = 5 + 4 = 9 cm
Question 3
1 / -0

If perimeter of a square is 32 cm, find its side.

A
16 cm

B
28 cm

C
√32 cm

D
8 cm

Solution

Perimeter of square = 4a, where 'a' is the side of the square.
⇒ 32 = 4a
⇒ 32/4 = a
⇒ a = 8 cm
Question 4
1 / -0

Area of a rectangle is 36 cm². What would be the side of the square if its perimeter is equal to the area of the given rectangle?

A
32 cm

B
6 cm

C
18 cm

D
9 cm

Solution

Given: Perimeter of the square = Area of the rectangle
⇒ 4a = 36 (given)
⇒ a = 36/4
⇒ a = 9 cm

Hence, side of the square = 9 cm