Question

Please answer and explain... will mark brainliest!! find the area.

Answer 1

Answer:

12. 1144.8668 (round if needed) 13. 52.5

Step-by-step explanation:

Area of a triangle: $A =$ $\frac{1}{2}$ x $b$ x $h$

Area of a rectangle: $A =$ $w$ x $h$

$A =$ area $b =$ base $h =$ height $w =$ width

12. Inside of the rectangle are two triangles. Use the pythagorean theorem to find the height of the triangles.

$a^{2} +b^{2} =c^{2}$

Substitute $32$ for $b$ and $48$ for $c$

$a^{2}+32^{2}=48^{2}$

Square the numbers

$a^{2}+1024=2304$

Subtract $1024$ from each side

$a^{2}=1280$

Take the square root from each side

$a = 35.777$

$a$ is the measurement of the height $h$

Use the formula to find the area of the rectangle

$A =$ $w$ x $h$

Substitute $32$ for $w$ and $35.777$ for h

$A =$ $32$ x $35.777$

Solve

$A = 1144.8668$

Round if needed

13. This is an irregular polygon. Separate the the shape into regular polygons. A triangle and a rectangle.

Use the formula to find the area of the triangle.

$A =$ $\frac{1}{2}$ x $b$ x $h$

Substitute $15$ for $b$ and $1$ for $h$

$A =$ $\frac{1}{2}$ x $15$ x $1$

Solve

$A =$ $7.5$

Use the formula to find the area of the rectangle.

$A = w$ x $h$

Substitute $15$ for $w$ and $3$ for $h$

$A =$ $15$ x $3$

Solve

$A = 45$

Add the two areas together to get the total area of the irregular polygon

$A = 7.5 + 45$

Solve

$A = 52.5$