Posted by **tony** on Saturday, January 15, 2011 at 4:40pm.

a rectangle is 4 times as long as it is wide. a second rectangle is 5 centimeters longer and 2 centimeters wider than the first. the area of the second rectangle is 530 square centimeters greater than the first. what are the dimensions of the original rectangle?

- math -
**Damon**, Saturday, January 15, 2011 at 5:22pm
L = 4 B

L2=L + 5

B2=B + 2

(L+5)(B+2) = LB +530

L B + 5B + 2 L + 10 = L B + 530

5 B + 2 L = 520

but L = 4 B

so

5 B + 8 B = 520

13 B = 530

B = 40.8

L = 163

LB = 6648

(L+5)(B+2) = 7174

difference = 525.6 pretty close

- since -
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