High School

The perimeter of a rectangle is 54 cm. The area of the same rectangle is 176 cm². What are the dimensions of the rectangle?

A. 11 cm by 16 cm
B. 8 cm by 22 cm
C. 5.5 cm by 32 cm
D. 4 cm by 44 cm

Answer :

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
i hope this helps you

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