Question

The width of a rectangle is 4 more than half the length.

If the perimeter of the rectangle is 74, what is the width?

Perimeter of rectangle: P = 2l + 2w

Width= ? Length= ?

Answer 1

The answer to your question is L = 22; w = 15

Explanation:

Data

length = L

width = w

Perimeter = 74

Condition

w = L/2 + 4

Formula

P = 2L + 2w

Substitution

74 = 2L + 2(L/2 + 4)

Simplification

74 = 2L + L + 8

74 = 3L + 8

74 - 8 = 3L

3L = 66

L = 66/3

L = 22

w = 22/2 + 4

w = 11 + 4

w = 15