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"The diagram above represents a square garden. If each side of the garden is increased in length by 50%, by what percent is the area of the garden increased?" Whats the explanation for this problem, I cant seem to figure it out?

The diagram above represents a square garden If each side of the garden is increased in length by 50 by what percent is the area of the garden increased Whats t class=

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corm

Answer:

Step-by-step explanation:

Let's say that each side of the square is of length [tex]s[/tex]. The area of this square would then be:

[tex]A = s^{2}[/tex]

If we increase the length of each side by 50%, then the length becomes [tex]1.5s[/tex], which will result in the area being:

[tex]A = (1.5s)(1.5s)[/tex]

[tex]A = 2.25s^{2}[/tex]

This means the area has increased by [tex]1.25[/tex] the original amount, or 125%.

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