The width of a rectangle is the length minus 3 units. The area of the rectangle is 54 units. What is the width, in units, of a r

Question

3 years ago

5

ectangle

1 answer:

saul85 [17] · Answer 1 · 2021-11-12T18:43:06+03:00

Width of the rectangle is 9 units

Step-by-step explanation:

Step 1: Let the width of the rectangle be x. Then the length = x - 3. Find dimensions of the rectangle if its area = 54 sq. units

Area of the rectangle = length × width

54 = x (x - 3)

54 = x² - 3x

x² - 3x - 54 = 0

x² + 6x - 9x - 54 = 0 (Using Product Sum rule to factorize)

x(x + 6) - 9(x + 6) = 0

(x + 6)(x - 9) = 0

x = -6, 9 (negative value is neglected)

x = 9 units