Question

The area of a square is equal to the expression 4a2 +20a+ 25. Find an algebraic expression for length of the side of the square.

Answer 1

Answer:

$area = 4 {a}^{2} + 20a + 25 \\ = (2a) {}^{2} +( 2 \times 2a \times 5) + {5}^{2} \\ = (2a + 5) {}^{2} \\ side = \sqrt{area } \\ = \sqrt{ {(2a + 5)}^{2} } \\ = 2a + 5$

Answer 2

Answer:

area=4a

2

+20a+25

=(2a)

2

+(2×2a×5)+5

2

=(2a+5)

2

side=

area

=

(2a+5)

2

=2a+5

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