If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm, the result will be a square, the area of w hich will be 27 cm^2 smaller than the area of the rectangle. Find the area of the rectangle. PLZZZZZZ HELP WILL MAKE BRAINLIEST!!!
1 answer:
Answer:
Step-by-step explanation:
L-6=W+3
L=W+9
LW-(L-6)(W+3)=27, using L from above makes this
W(W+9)-(W+9-6)(W+3)=27
W^2+9W-(W+3)(W+3)=27
W^2+9W-W^2-6W-9=27
3W-9=27
3W=36
W=12, since L=W+9
L=12+9=21
A=LW
A=21(12)
A=252 cm^2
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