Question

A bench is being centered on a wall. The wall is 2.7 m long and the bench is 1.8 m wide. Which equation can be used to determine how much of the wall should be on each side of the bench?

A) 2.7-2x=1.8
B) 2x-1.8=2.7
c) 1.8x-2=2.7
D) 2.7-1.8x=2

Answer 1

2.7-2x=1.8

Step-by-step explanation:

2.7-2=1.8

Answer 2

Option(D) is the correct answer.

Given,

The length of the wall = 2.7 m

The width of the bench = 1.8 m
To Find,

The equation to determine how much of the wall should be on each side of the bench =?

Solution,

Let the wall left on each side of the bench be x

We know that the length x is to be left on each side of the bench that is on 2 sides.

Therefore, the total length of the wall will be equal to the width of the bench and the space left on both sides.

The length of the wall = The width of the bench + 2(The space left on both sides)

⇒ 2.7 = 1.8 + 2(x)

⇒ 2.7 = 1.8 + 2x

⇒ 2.7 - 2x = 1.8

Hence, the equation can be used to determine how much of the wall should be on each side of the bench is 2.7 - 2x = 1.8. Option(A) is the correct answer.