Question

What is the area of this figure?

49.5 in²

66.5 in²

84 in²

91 in²

Answer 1

area of figure
= (7 x 7) + [1/2(12)(7)]
= 49 + 42
= 91

answer
91 in²

Answer 2

The given figure can be divided in two parts 1) Square with side 7 in 2) A right triangle with base 12 in and height 7 in.

1) Area of square =
`side^(2)`

Side of the square is 7 in.

Area =
`7^(2) =49in^(2)`

2) Area of triangle =
`(1)/(2) .base . height`

Area of triangle =
`(1)/(2) (12)(7) =42in^(2)`

Area of polygon= Area of square+ Area of triangle

Area of polygon = 49+42 =91 square in.

Area =
`91in^(2)`