Question

A rectangular parking lot has an area of 43,000 square feet. What is the length, x, of the parking lot if the width is 330 feet less than the length? Use the formula for the area of a rectangle to help solve this problem: A=lw

Answer 1

Answer:

Length: 430

Width: 100

Step-by-step explanation:

Length : x

Width: x - 330

Area = 43000

Area = length * width

43000 = x (x - 330)

43000 = x² - 330x

x² - 330x - 43000 = 0

x² - 430x + 100x - 43000 = 0 // Doing factorization

x (x - 430) + 100 (x - 430) = 0

(x+100)(x-430) = 0

x + 100 = 0  

x = -100 (Since the length can not be negative)

x - 430 = 0

x = 430(This is the length)

Width: x - 330  = 430 - 330 = 100

Proof : 430 * 100  = 43000