12

Tiles are being placed in front of a fireplace to create a trapezoidal hearth. The heart will have a hieght of 12 inches and bases that are 24 inches and 30 inches, How much space will the trapezoidal hearth take up

324 square inches

Step-by-step explanation:

In this case;

we are given a trapezoidal heart;

Height is 12 inches

Bases are 24 inches and 30 inches

We are required to determine the space the trapezoidal heart will take;

We are going to determine its area;

Area of a trapezoid is given by;

Area = 0.5 h (a + b)

where a and b are the bases

Therefore;

Area = 0.5 * 12 (24 + 30)

= 324 square inches

Therefore, the trapezoidal heart will take up an area of 324 square inches