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

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