Question

Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than .

Answer 1

x<23

Explanation:

Find the diagram attached

Perimeter of the rectangle = 2(L+W)

L is the length

W is the width

Given

L = x

W = x+4

If the perimeter of the rectangle is less than 100, then;

P < 100

2(x+x+4)<100

2(2x+4)<100

4x+8<100

4x<100-8

4x<92

x<92/4

x<23

Hence the required solution is x<23