Mathematics: Find the area of the polygon. show your work

Find the area of the polygon. show your work

paige1616

11.03.2022

Look at the picture.

We have the triangle and the parallelogram.

The formula of an area of a triangle

$A_T=\dfrac{bh}{2}$

We have b = 5 and h = 3. Substitute:

$A_T=\dfrac{5\cdot3}{2}=\dfrac{15}{2}=7.5$

The fromula of an area of a parallelogram:

A_P=bh

We have b = 5 and h = 3. Substitute:

$A_P=5\cdot3=15$

The area of polygon:

$A=A_T+A_P\to A=7.5+15=22.5\ u^2$

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Other method. (look at the second picture).

We have the three congruent triangles. The area of the polygon is equal three times the area of a one triangle.

$A_\Delta=\dfrac{bh}{2}$

b = 5, h = 3. Subsitute.

$A_\Delta=\dfrac{5\cdot3}{2}=\dfrac{15}{2}=7.5$

The area of the polygon:

$A=3A_\Delta\to A=3\cdot7.5=22.5\ u^2$

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hoyanna69

09.05.2022

x=2, y =1

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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