The perimeter of a rectangle is 54 cm. The area of the same rectangle is 176 cm². What are the dimensions of the rectangle? . 11
cm by 16 cm. 8 cm by 22 cm. 5.5 cm by 32 cm. 4 cm by 44 cm
2 answers:
Answer:
A 11x16
Step-by-step explanation:
Let the length of rectangle be l and width be w.
Then given that perimeter = 2l+2w = 54
l+w =27
w=27-l
Also area = lw = 176
Substitute for w to get
l(27-l) = 176
-l^2+27l-176=0
(l-16)(l-11)=0
Length = 16 cm
or 11 cm
If length =16 width =11 or if length = 11, width =17
Hence answer is
11x16 i.e. option A
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