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The top of a rectangular table has an area of 11 square feet. It has a length that is 3.5 feet more than the width. Find the dimensions of the table top.

The length of the table is ____ feet and the width of the table is ____ feet.

Respuesta :

Medunno13

Step-by-step explanation:

If we let the width be w, then the length is w+3.5.

This means that w(w+3.5)=11

w^2 + 3.5w - 11 = 0

2w^2 + 7w - 22 = 0 (multiply both sides by 2)

(2w+11)(w-2)=0

w = -11/2 or w = 2 (disregard w = -11/2 as distance is positive)

This means that w=2, and thus the length is 2+3.5=5.5

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