Question

The length of a rectangle is 4yd longer than its width.

Answer 1

Answer:

Length= 19 yd

Width= 15 yd

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of all its sides.

Mathematically, it can be represented as below:

$\boxed{\text{Perimeter of rectangle}=2\text{(length}+\text{width)}}$

Define variables used:

Let the length and width of the rectangle be L and W yards respectively.

Form an equation:

Given that the length of the rectangle is 4 yards longer that the width,

L= W +4 -----(1)

Next, form another equation using information on the perimeter.

68= 2(L +W) -----(2)

Substitute equation (1) into (2):

68= 2(W +4 +W)

68= 2(2W +4)

Divide both sides by 2:

34= 2W +4

Subtract both sides by 4:

2W= 34 -4

2W= 30

Divide both sides by 2:

W= 30 ÷2

W= 15

Substitute W= 15 into (1):

L= 15 +4

L= 19

Therefore, the length and width of the rectangle is 19 and 15 yards respectively.

Additional:

For another question on perimeter of rectangle, check out: brainly.com/question/15528005