20). Tasha is planning an expansion of a square flower garden in a city park. If each side of the original is increased by 7m, the new total area of the garden will be 144m^2. Find the length of each side of the original garden.

A) 19m

B) 12m

C) 5m

D) square root 5m

21). The area of the playground is 255 yd^2. The width of the playground is 2 yards longer than its length. Find the length and width of the playground.

A) length = 17yd, width = 15yd

B) length = 17yd, width = 30yd

C) length = 15yd, width = 17yd

D) length = 30yd, width = 17yd

Question

Mathematics

Tomas Mueller

13 February, 19:04

20). Tasha is planning an expansion of a square flower garden in a city park. If each side of the original is increased by 7m, the new total area of the garden will be 144m^2. Find the length of each side of the original garden.

A) 19m

B) 12m

C) 5m

D) square root 5m

21). The area of the playground is 255 yd^2. The width of the playground is 2 yards longer than its length. Find the length and width of the playground.

A) length = 17yd, width = 15yd

B) length = 17yd, width = 30yd

C) length = 15yd, width = 17yd

D) length = 30yd, width = 17yd

+2

Answers (1)

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Button · Answer 1

144 = (x+7) ^2 take the square root of both sides ...

12=x+7 subtract 7 from both sides ...

x=5

So the original was a 5m square.

...

255=WL and you are told that W=L+2 so the equation becomes:

255 = (L+2) L

255=L^2+2L

L^2+2L-255=0

L^2+17L-15L-255=0

L (L+17) - 15 (L+17) = 0

(L-15) (L+17) = 0 Since L>0 ...

L=15yd, and since W=L+2, W=17yd so

length=15, width=17yd