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

Answer:

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

Answer 2

Answer:

The area of given figure is 42 square units.

Step-by-step 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:

$A=length \times width$

The area of rectangle is

$A_1=7 \times 4=28$

The area of the rectangle is 28 square units.

Formula for area of a triangle:

$A=\frac{1}{2}\times base \times height$

The area of a triangle is

$A_2=\frac{1}{2}\times 7 \times 2$

$A_2=7$

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.