Stefon is painting the ceiling of a room. the ceiling is in the shape of a rectangle. he has enough paint to cover 180 square feet. the length of the ceiling is 11 feet longer than its width. what are the dimensions of the ceiling?
a. l = 29 ft; w = 18 ft
b. l = 21 ft; w = 10 ft
c. l = 26 ft; w = 15 ft
d. l = 20 ft; w = 9 ft

D. l = 20 ft; w = 9 ft

Step-by-step explanation:

The area of a rectangle is width times length:

180 = WL

We're told the length is 11 feet longer than the width:

L = W + 11

Substituting:

180 = W (W + 11)

180 = W² + 11W

0 = W² + 11W − 180

0 = (W + 20) (W − 9)

W = -20, 9

Since W can't be negative, W = 9.

L = W + 11

L = 20

Hint: on a timed multiple choice test, like the SAT or ACT, it's sometimes faster to check each answer rather than do the math.  We know the area is 180, so simply multiply each length and width and see which is right:

A. 29 ft × 18 ft  = 522 ft²

B. 21 ft × 10 ft  = 210 ft²

C. 26 ft × 15 ft  = 390 ft²

D. 20 ft × 9 ft = 180 ft²

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3