Question

Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon. (5 points)

Pentagon with square measuring 7 inches by 4 inches and two triangles with heights of 6 inches and 5 inches.

Group of answer choices

50 in2

59 in2

85 in2

90 in2

Answer 1

The answer is 59 in2

Explanation:

Answer 2

59 in2

Explanation:

we know that

The area of the polygon is equal to the area of rectangle plus the area of two triangles

so

Find the area of rectangle

`A_1=LW`

we have

`L=7\ in\\W=4\ in`

substitute

`A_1=(7)(4)=28\ in^2`

Find the area of triangle with height of 6 in

`A=(1)/(2)bh`

we have

`b=7\ in\\h=6\ in`

substitute

`A_2=(1)/(2)(7)(6)=21\ in^2`

Find the area of triangle with height of 5 in

`A=(1)/(2)bh`

we have

`b=4\ in\\h=5\ in`

substitute

`A_3=(1)/(2)(4)(5)=10\ in^2`

The total area is

`A=A_1+A_2+A_3=28+21+10=59\ in^2`