The area (in square centimeters) of a square coaster can be represented by

Wotzdorfg

Wotzdorfg

Answered question

2021-09-20

The area (in square centimeters) of a square coaster can be represented by d2+8d+16.
a. Write and expression that represents the side length of the coaster.
b. Write and expression for the perimeter of the coaster.

Answer & Explanation

yagombyeR

yagombyeR

Skilled2021-09-21Added 92 answers

a) a=d2+8d+16 =a=d2+8d+16 =d2+2(d)(4)+42 
a2+2ab+b2=(a+b)2 
d2+2(d)(4)+42=(d+4)2 
Area =(side)2 
(side)2=(d+4)2 
side =(d+4) 
Answer: the length of playground is (d+4) 


b) In part a we find side of square. 
Perimeter of square is 4× side 
=4(d+4) 
=4d+16 
Answer is 4d+16.

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