Question

I NEED HELP WITH GEOMETRY

Answer 1

a. 136
`units^(2)`

b. 92
`units^(2)`

Explanation:

a. Find the area of the triangle and the area of the rectangle, then subtract the area of the rectangle by the triangle.

Area of triangle: bxh / 2 = 32x16 / 2

= 512 / 2

= 256

Area of rectangle: bxh = 20 x 6

= 120

Total area: 256 - 120 = 136
`units^(2)`

b. Just like a., find the area of the white triangle and the rectangle, then subtract the area of the triangle by the rectangle.

Area of triangle: bxh / 2 = 23x8 / 2

= 184 / 2

= 92

Area of rectangle: bxh = 23 x 8

= 184

Total area: 184 - 92 = 92
`units^(2)`

Answer 2

a) 136 square units

b) 92 square units

Explanation:

A)

The triangle is worth:

16 * 16 / 2 = 128 + 16 * 16 / 2 = 128 = 256.

There is a rectangle in the middle with deletes 120 square units from 256.

256 - 120 = 136, so the first shape equals 136 square units.

B)

The smaller shaded triangles is 32 square units because 8 * 8 / 2 = 32.

The biggest one would be 15 * 8 / 2 = 60 square units.

32 + 60 = 92 square units.

Hope this helped!