Question

What is the answer to this question please show work

Answer 1

Hey there!

To get the area of this compound shape, let's divide this shape into two parts. After you do that, we have a square and a triangle. Let's solve for the square first.

The square has dimensions of 12 cm for each side. Thus, we just square the side length to get the area.

$12^2=144$

Thus, the square has an area of 144 cm². Now, let's find the area of the triangle.

We know that the triangle has a base length of 12 cm, but the height is not directly given. To find the height, subtract 12 from 17.

$17-12=5$

Now, use the formula for the area of the triangle.

$\frac{1}{2}bh= \frac{1}{2}5*12=30$

The triangle has an area of 30 cm². Now, add the area of the triangle and the square.

144+30=174

The compound figure has an area of 174 cm².

Hope this helps! :)

Answer 2

The image contains two geometric objects, square and triangle

The square
The square has side equals to 12 cm
Find the area of the square
a = s × s
a = 12 × 12
a = 144 cm²

The triangle
The triangle has base equals to 12 cm, and the height equals to 17 - 12 = 5 cm
Find the area of the triangle
a = 1/2 × b × h
a = 1/2 × 12 × 5
a = 1/2 × 60
a = 30 cm²

Now add the area together
a = area of triangle + area of square
a = 144 + 30
a = 174

Answer:
The area is 174 cm²