Question

Robert is replacing sod in two square-shaped areas of his backyard. One side of the first area is 7.5 feet. One side of the other area is 5.7 feet. The sod costs y dollars per square foot. (Hint: Area of a square is l x w) Write an expression to show how much Robert will spend on sod.

Answer 1

32.49y+56.25y

Take 5.7*5.7=32.49
Take 7.5*7.5=56.25
Those are the areas of each square shaped areas in Roberts backyard. Multiply each by then cost of y and then add both together...

Answer 2

The expression becomes for the Robert will spend on sod.

x = 56.25 y + 32.49 y

Explanation:

Let us assume that the Robert will spend on sod = x

As given

Robert is replacing sod in two square-shaped areas of his backyard.

As given Formula in the question

Area of a square = L × B

Where l is the length and B is breadth .

(As in the case of the square all sides are equal.)

Thus

Area of a square = L × L

= L²

One side of the first area is 7.5 feet.

Area of square for first = 7.5 × 7.5

= 56.25 feet²

One side of the other area is 5.7 feet.

Area of square for other = 5.7 × 5.7

= 32.49 feet²

As given

The sod costs y dollars per square foot.

Thus the expression becomes

x = 56.25 y + 32.49 y