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 lengt

Question

3 years ago

5

h what is the length of the table

1 answer:

hammer [34] · Answer 1 · 2022-07-18T10:30:11+03:00

The length of the table is 15.14 inches.

<u>Given the following data:</u>

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.