Question

Have to find the area of the figure please help!

Answer 1

Answer: Area =
`60√(2)`

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Step-by-step explanation:

The triangle on the right side is a 45-45-90 triangle

The hypotenuse is 8, so the leg length is
`(8)/(√(2)) = (8√(2))/(2) = 4√(2)`

This is the height of the parallelogram. The base is 15 which is always perpendicular to the height, and vice versa.

The area of this parallelogram is therefore,
`\text{base*height} = 15*4√(2) = 60√(2)`