1 the length of the rectangular parking lot is 36m longer than its width.The area of the parking lot is 5,152m
D. what is the length of the parking lot?How aboutw the width?Explain how you arrived at your answer.
E. supposed the area of the parking nlot doubled would its length and width also double?justify your answer​


Sagot :

Answer:

D. l= 92 m

w= 56 m

E. No, because if the area is doubled only either the length or width will be doubled and not both.

Step-by-step explanation:

D. Write the expressions

l= x+36

w= x

A= 5,152

Combine the expressions into a single equation

5152= x(x+36)

Simplify the equation

5152= x^2+36x

x^2+36x-5152= 0

Factor out the equation

(x+92)(x-56)= 0

Get the roots or zeros

x= -92

x= 56

Substitute the positive value of x

l= (56)+36= 92

w= 56

E. A= 5152

5152 x 2 = 10,304

l= 92

92 x 2 = 184

w= 56

56 x 2 = 112

184 x 112 = 20,608

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