Question

The length of a rectangle is 7 meters longer than its width. What is the width of this rectangle if its perimeter is equal to 86 meters?

Answer 1

Answer:

18 meters

Step-by-step explanation:

Given,

Let length of a rectangle be ' x + 7 ' meters

Let width of a rectangle be ' x ' meters

Perimeter = 86 meters

Now, let's find the width of the rectangle:

Perimeter of rectangle = $2(l + b)$

plug the values

$86 = 2(x + 7 + x)$

Collect like terms

$86 = 2(2x + 7)$

Distribute 2 through the parentheses

$86 = 4x + 14$

Move constant to R.H.S and change its sign

$86 - 14 = 4x$

Calculate the difference

$72 = 4x$

Swipe the sides of the equation

$4x = 72$

Divide both sides of the equation by 4

$\frac{4x}{4} = \frac{72}{4}$

Calculate

$x = 18$ meters

Hope this helps..

Best regards!!

Answer 2

Answer:

18 meters

Step-by-step explanation:

If the width is w, the length is w + 7.

Perimeter = 2(width + length), therefore:

86 = 2(w + w + 7)

86 = 2(2w + 7)

43 = 2w + 7

36 = 2w

w = 18