Question

The width of a rectangle is the length minus 5 units. The area of the rectangle is 6 units. What is the width, in units, of the rectangle?

Answer 1

Width of the rectangle is 1 unit

Step-by-step explanation:

• Step 1: Let the length of the rectangle be x. Then the width = x - 5. Find dimensions of the rectangle if its area = 6 sq. units

Area of the rectangle = length × width

6 = x (x - 5)

6 = x² - 5x

x² - 5x - 6 = 0

x² - 6x + x - 6 = 0 (Using Product Sum rule to factorize)

x(x - 6) + 1(x - 6) = 0

(x - 6)(x + 1) = 0

x = -1, 6 (negative value is neglected)

x = 6 units

x - 5 = 1 unit