Question

Debra's rectangular vegetable garden measures 93 yards by 12 yards.

A bottle of garden fertilizer costs $14.79. If Debra needs to mix cup of
fertilizer with water for each square yard of her garden, how many cups
of fertilizer does she need?​

Answer 1

126 cups of fertilizer

Explanation:

The complete question is

Debra's rectangular garden measures 9 1/3 by 12 yards .a bottle of fertilizer cost $14.79 .if Debra needs to mix 1/8 cup of fertilizer with water for each square foot of her garden how many cups of fertilizer does she need?

step 1

Find the area of the rectangular garden

The area of rectangle is equal to

`A=LW`

we have

`L=9(1)/(3)\ yd=9+(1)/(3)=(9*3+1)/(3)=(28)/(3)\ yd`

`W=12\ yd`

substitute

`A=((28)/(3))12=112\ yd^2`

step 2

Convert square yards to square feet

Remember that

`1\ yd=3\ ft`

`1\ yd^2=9\ ft^2`

so

`112\ yd^2=112)9)=1,008\ ft^2`

step 3

Find how many cups of fertilizer does she need

using proportion

`((1/8))/(1)\ (cups)/(ft^2)=(x)/(1,008)\ (cups)/(ft^2)\\\\x=1,008/8\\\\x=126\ cups`