Question

What is area of this

Answer 1

Answer:

A = 20.5 sq units

Step-by-step explanation:

you have the height of 5 but need to figure out the base

we can use the Pythagorean Theorem two times to find it

1) a² + 5² = 7²

a² = 49-25

a = $\sqrt{24}$ = $\sqrt{4}$·$\sqrt{6}$ = 2$\sqrt{6}$

2) b² + 5² = 6²

b² = 36-25

b = $\sqrt{11}$

Base = 2$\sqrt{6}$ + $\sqrt{11}$

A = 1/2 x 5· (2$\sqrt{6}$ + $\sqrt{11}$)

A = 2.5 · (2$\sqrt{6}$ + $\sqrt{11}$)

A = 2.5(8.2)

A = 20.5