Question

What is the area of this tile?

Answer 1

A = 138 cm²

Explanation:

the figure is a trapezoid, the formula for the area is

A = ½ (a + b)×h

A = ½ (14 + 9) × 12

A = ½ 23 × 12

A = ½ × 276

A = 138 cm²

Answer 2

Answer: A. 138 square centimeters

Explanation:

There are two ways to solve this. The first is to use the formula for the area of a trapezoid. This way is quicker, but if you do not know the formula I have provided a second way below.

A =
`(a+b)/(2) h`

A =
`((9+14)/(2)) (12)`

A = 138

The second is to break this shape up into two parts. First, the area of the rectangle.

A = LW

A = (9 cm)(12 cm)

A = 108 cm²

Next, the area of the triangle on the left side of this shape. To find the base, we will subtract 9 cm from 14 cm.

A =
`(bh)/(2)`

A =
`((14\;cm\;\;-\;\;9\;cm)(12\;cm))/(2)`

A =
`((5\;cm)(12\;cm))/(2)`

A =
`(60\;cm^2)/(2)`

A = 30 cm²

Lastly, we'll add these two shapes together.

A = 108 cm² + 30 cm² = 138 cm²