Question

Q

19) Choose the correct answer.
The perimeter and area of a wall have the same value. If the base of the wall is 7 meters long,
what is the height of the wall?
O 4.48 meters
O 5.6 meters
O2.8 meters
O 1.4 meters

Answer 1

2.8 meters

I've done the quiz

Answer 2

Let's assume the height of the wall as 'h' meters.

Given, the perimeter of the wall = area of the wall

The perimeter of the wall = 2(length + breadth) = 2(7+h) = 14+2h meters

The area of the wall = length × breadth = 7 × h = 7h square meters

According to the problem, the perimeter and area of the wall have the same value.

So, 7h = 14 + 2h

Subtracting 2h from both sides, we get:

5h = 14

Dividing both sides by 5, we get:

h = 2.8 meters

Therefore, the height of the wall is 2.8 meters.

Hence, the answer is 2.8 meters