Question

4. Describe one way to find the area of the figure below, given the dimensions. Solve for a challenge!

Answer 1

A = 1.400

Explanation:

First you have divide the shape into two shapes, Horizontally

then you find the formula for the area of a triangle which is A=1/2(bh). After that plug in the values. Top triangle A=1/2(20*20), Bottom A=1/2(20*15). solve the parentheses first then multiply by . For the top you get 800 and for the bottom you get 600. add that together for the total area

A=1,400

Answer 2

A = 200 ft²

Explanation:

I'm going to cut the shape straight down the middle, from the top corner to the bottom corner. Now I have two triangles that are exactly the same.

I know the area of a triangle is A = bh/2

"A" is area.

"b" is base.

"h" is height.

The base and height are perpendicular to each other. The base is a side of the triangle, the height it drawn from the top corner and hits the base at 90°.

See diagram below. The height is half of 20 ft, according to the bottom measurement. The base is 20 ft, according to the side measurement.

base = 20 ft

height = 10 ft

Use the formula for area of a triangle. Since there are two triangles, double the formula.

A =
`2(bh)/(2)` If you multiply and divide by 2, it cancels out.

A = bh Substitute base and height

A = (20 ft)(10 ft) Multiply.

A = 200 ft² Area of whole shape

Therefore the area of the figure is 200 square feet.