bhatttirth27
Answered

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Sagot :

Answer:

600 cm²

Step-by-step explanation:

The shaded area (A) is calculated as

A = area of square - ( area of 3 unshaded triangles )

area of square = 40 × 40 = 1600 cm²

area of lower right triangle = [tex]\frac{1}{2}[/tex] × 20 × 40 = 10 × 40 = 400 cm²

area of upper left triangle = [tex]\frac{1}{2}[/tex] × 40 × 20 = 20 × 20 = 400 cm²

area of lower left triangle = [tex]\frac{1}{2}[/tex] × 20 × 20 = 10 × 20 = 200 cm²

Then

A = 1600 - (400 + 400 + 200 ) = 1600 - 1000 = 600 cm²

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