Question

What is area of this

Answer 1

A = 20.5 sq units

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 =
`√(24)` =
`√(4)`·
`√(6)` = 2
`√(6)`

2) b² + 5² = 6²

b² = 36-25

b =
`√(11)`

Base = 2
`√(6)` +
`√(11)`

A = 1/2 x 5· (2
`√(6)` +
`√(11)`)

A = 2.5 · (2
`√(6)` +
`√(11)`)

A = 2.5(8.2)

A = 20.5