Question

Hi! I am really struggling with this and I need help. I did it multiple times and kept getting 290cm^2. DO NOT JUST GIVE ME AN ANSWER, PLEASE EXPLAIN SO I KNOW FOR THE FUTURE!! THANK YOU!

Answer 1

255 cm^

Explanation:

If you cut your shape into a triangle and rectangle...or a trapezoid and a rectangle, then add the areas together.

Area of a rectangle is just length × width.



Area of a triangle is:

A = 1/2bh

Area of a trapezoid is:

A = 1/2(b1 + b2)

see image to see two different ways to cut the whole shape into two pieces. Then we calculate the total by adding the areas of the parts.

see image.

Answer 2

I think the answer is 255cm squared

Explanation:

If you look at the shape it has 2 shapes. A rectangle and a triangle.

17-10 to get the height of the triangle = 7

22-12 to get the base of the triangle = 10

The area to find a triangle is 1/2 * b * h

= (7 *10) / 2

= 35

To find the rectangle =

22 * 10

= 220

To find the area of the whole thing =

35 (triangle) + 220 (rectangle) = 255cm squared