Question

What is the area of the figure?

Answer 1

336 square units

Explanation:

Generally, to find the area of the given quadrilateral (which is presumably a kite), one uses the following formula,

`((base)*(hieght))/(2)`

In this picture, one can see that the diagonals (dotted lines that connect opposite corners) are given, but their measurements are split up as per the segments they are divided into. In order to find the lengths of each diagonal, add up the two parts. To find the area of the figure, substitute the results into the given formula to find the area,

`12+12=24\\\\10 + 18 = 28`

Substitute,

`(24*28)/(2)\\\\=(672)/(2)\\\\=336`

Answer 2

b. 366 square inches

Explanation:

The area of a triangle is 1/2×Base×Height. There are 2 pairs of identical triangles so you multiply each equation by 2.

2×(1/2×10×12) = 120 in²

2×(1/2×18×12) = 216 in²

120 in² + 216 in² = 336 in²