Question

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

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