Question

[find the area please explain steps]​

Answer 1

Length of base of the top triangle = 23 inches

Length of height of the top triangle = 47 inches

Area of the top triangle :

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

$= \frac{1}{2} \times 23 \times 47$

$= \frac{1}{2} \times 1081$

$= \frac{1081}{2}$

$= \color{hotpink} \: 540.5 \: \:sq. inches \:$

Thus, area of the top triangle = 540.5 sq.inches

Length of base of the bottom triangle = 47 inches

Length of height of the bottom triangle = 46 inches

Area of the bottom triangle :

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

$= \frac{1}{2} \times 47 \times 46$

$= \frac{1}{2} \times 2162$

$= \color{hotpink}1081 \:sq. inches$

Area of the bottom triangle = 1081 sq.inches

Area of the total figure :

= Area of top triangle + Area of bottom triangle

$= 540.5 + 1081$

$= \color{hotpink}\bold{1621.5 \: \: sq.inches}$

Therefore, the area of the figure = 1621.5 sq.inches