Mathematics: Please help and if you can please explain it well thank you

Please help and if you can please explain it well

glizbethh00

02.02.2022

there is a feature on this app where u can take a picture and it will give u the answer. i would suggest trying that because it is quite useful

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avi46

31.05.2021

$\large\boxed{A=54\ m^2}$

Step-by-step explanation:

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdor h$

b₁, b₂ - bases

h - height

We must use the Pythagorean theorem:

x^2+8^2=10^2

x^2+64=100 subtract 64 from both sides

$x^2=36\to x=\sqrt{36}\\\\x=6\ m$

We have b₁ = 6 + 6 = 12m, b₂ = 6m and h = 8m.

Substitute:

$A=\dfrac{12+6}{2}\cdot6=\dfrac{18}{2}\cdot6=(9)(6)=54\ m^2$

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