Question

Rebecca placed a transparent grid of square units over the shapes she was measuring below. Using her grid, determine the area of each shape.

Answer 1

Step-by-step explanation:its 42 cm^2

Answer 2

The area of given figure is 42 square units.

Explanation:

The given figure contains one rectangle and two congruent triangle.

For rectangle:

Length = 7 units

Width = 4 units

For each triangle:

Base = 7 units

Height = 2 units

Formula for area of a rectangle:

`A=length * width`

The area of rectangle is

`A_1=7 * 4=28`

The area of the rectangle is 28 square units.

Formula for area of a triangle:

`A=(1)/(2)* base * height`

The area of a triangle is

`A_2=(1)/(2)* 7 * 2`

`A_2=7`

The area of given figure is

`A=A_1+2A_2`

`A=28+2(7)`

`A=28+14`

`A=42`

Therefore the area of given figure is 42 square units.