The area of a room is 396 square feet. The length is (x + 8) feet and the width is (x + 4) feet. Find the dimensions of the room.

Question

Mathematics

Felicity Peterson

27 January, 21:43

The area of a room is 396 square feet. The length is (x + 8) feet and the width is (x + 4) feet. Find the dimensions of the room.

+4

Answers (1)

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Elaina Knight · Answer 1

22 ft by 18 ft

Step-by-step explanation:

Area = l * w

Area = (x+8) * (x+4) = x^2 + 12x+32

396 = x^2 + 12x+32

400 = (x+6) ^2

20 = x+6

x = 14

x+8 = 22

x+4 = 18