Question

Laila is laying a path down for a new driveway. The store has three types of paver stones that will work for her space. She needs to know which paver is the best price. Paver 1 costs $1.49 each, and she will need twice as many as paver 2 and half as many as paver 3. Paver 2 costs $2.50 each. Paver 3 costs $0.75. Which paver will be the best buy? Your answer should be a number.

Answer 1

Paver 3 because it is the most affordable to fill in land with paver

Answer 2

Answer: 906 square feet

Step-by-step explanation: You want to know the area of the patio with the composite shape shown in the figure.

Composition

We can divide the shape into two trapezoids and one parallelogram. Each has a height of 12 ft.

The top trapezoid has bases of 13 ft and 23 ft. The parallelogram has a base of 23 ft. The bottom trapezoid has bases of 37 ft and 32 ft.

Area formulas

The relevant area formulas are ...

A = 1/2(b1 +b2)h . . . . . . area of a trapezoid

A = bh . . . . . . . . . . . . . area of a parallelogram

Computation

Working from the top down, the areas of the composite parts are ...

A = 1/2(13 +23)(12) = 6(36) = 216 . . . . square feet

A = (23)(12) = 276 . . . . square feet

A = 1/2(37 +32)(12) = 6(69) = 414 . . . . square feet

Then the total area of the walkway and patio is ...

216 +276 +414 = 906