Question

Elmer is customizing a table with an area of 108 square inches he is planning to have Its width be 8 inches less than it's length what is the length of the table​

Answer 1

The length of the table is 15.14 inches.

• Let the length of the table be L.

• Let the width of the table be W.

Given the following data:

• Area of table = 108 square inches

Translating the word problem into an algebraic equation, we have;

W = L - 8

To find the length of the table​;

Mathematically, the area of a rectangle is given by the formula;

$A = LW$

Substituting the values into the formula, we have;

$108 = L(L - 8)\\\\108 = L^2 - 8L\\\\L^2 - 8L - 108 = 0$

Solving the quadratic equation by using the quadratic formula, we have the following values;

L = 15.14 or -7.14

We would choose the positive value.

Therefore, the length of the table is 15.14 inches.

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