Question

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Answer 1

10 square units

Explanation:

It's a right triangle.

The formula of an area of a right triangle:

`A=(ab)/(2)`

a, b - legs

Find x-intercept and y-intercept of a line 4x + 5y = 20.

x-intercept (y = 0):

4x + 5(0) = 20

4x + 0 = 20

4x = 20 divide both sides by 4

x = 5

y-intercept (x = 0):

4(0) + 5y = 20

0 + 5y = 20

5y = 20 divide both sides by 5

y = 4

Therefore the legs are a = 5, b = 4.

Substitute:

`A=((5)(4))/(2)=(20)/(2)=10`

Look at the picture.