Question

The length of a rectangle is five times its width. The perimeter of the rectangle is at most 96 cm.

Which inequality models the relationship between the width and the perimeter of the rectangle?

A. 2w+2⋅(5w)≤96

B. 2w+2⋅(5w)>96

C. 2w+2⋅(5w)≥96

D. 2w+2⋅(5w)<96

Answer 1

The relation between the length and the width is l=5w ---(1) Perimeter is at most 96 means 2l + 2w ≤96 ----(2) Substitute (1) in (2) » 2(5w) + 2w≤96 Or 2w + 2.(5w)≤96 The correct answer is A

Answer 2

answers B and D are clearly wrong and if u do some simple thinking you can determine the answer is C...

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