Use an inequality to solve the problem. Be sure to show the inequality and all of your work.

One side of a rectangle is 4 times the other, and the perimeter is not to exceed 150 inches. Find the possible values for x, the length of the shorter side.

Question

Use an inequality to solve the problem. Be sure to show the inequality and all of your work.

One side of a rectangle is 4 times the other, and the perimeter is not to exceed 150 inches. Find the possible values for x, the length of the shorter side.

anonymous · Answer

2(4x+x)=15
8x+2x=150
150\10=15
x=15

anonymous · Answer

This an inequality not an equation so ...
side 1 is given...
x
Side 2 is given...
4x
Perimeter therefore is given ...
2( x + 4x) = 10x
Inequality therefore is given ...
10x<150   divide both sides by 10 ...
x<15

Voila!