The Blakely family plans to plant sod (grass) in their backyard. The yard measures 250 feet by 180 feet. The family has an in-ground rectangular swimming pool in the center of the yard that measures 15 feet by 20 feet. How many square feet of sod will they need to cover the backyard?

To cover the backyard they need 44700 square foot of sod.

Step-by-step explanation:

Area of the backyard = 250 x 180 ft

= 45000 square ft.

Area of the swimming pool = 15 x 20 ft.

= 300 square ft.

Area of the backyard available for planting sod = 45000 - 300

= 44700 square ft.

To cover the backyard they need 44700 square foot of sod.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse