Mathematics: What is area of this

Correct answer is A.Logarithmic and exponential functions are inverse functions....

What is area of this - id13218961, toniottone01ow4vwd

marcgotbox

12.06.2021

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

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