The length of the top of a table is 4 m greater than the wid

The length of the top of a table is 4 m greater than the width. The area is 96 m^2. Find the dimensions of the table.

The width of the table is ___ m

The length of the table is ___ m.

Solution

Length—x:
x(x - 4) = 96
x² - 4x = 96
x² - 4x +4 = 96 + (2)²
(x - 2)² = 100
x - 2 = 10
x = 12

Width:
= 12 - 4
= 8

length = 12 m