Question

Please help------------,​

Answer 1

600 cm²

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 =
`(1)/(2)` × 20 × 40 = 10 × 40 = 400 cm²

area of upper left triangle =
`(1)/(2)` × 40 × 20 = 20 × 20 = 400 cm²

area of lower left triangle =
`(1)/(2)` × 20 × 20 = 10 × 20 = 200 cm²

Then

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