What is the area of the shaded part in the figure shown here?Immersive Reader (1 Point) 200 sq.cm 150 sq.cm 125 sq.cm 100 sq.cm PLEASE HELP FAST!

Question

asked Feb 14, 2021 66.0k views

1 Answer

VIBrunazo · Answer 1 · 2021-02-19T18:44:28+0000

Answer:

The area of the shaded part is 100
cm^2

Explanation:

Subtracting Areas:

We can find the shaded area by adding or subtracting areas.

We'll use the latter method.

The total shape is a rectangle of side lengths 15 cm and 10 cm. Thus its area is:

$A_t=15\ cm\cdot 10\ cm=150\ cm^2$

The area of each non-shaded square is:

$A_s=(5\ cm)^2=25\ cm^2$

The total non-shaded area is

$2*A_s=50\ cm^2$

Thus, the shaded area is:
A_(shaded)=A_t-2*A_s=150 - 50 = 100

The area of the shaded part is 100
cm^2