Question

find area of shaded region ​

Answer 1

Answer:

500 cm²

Step-by-step explanation:

The area of the shaded region is equal to the area of the rectangle - the areas of the four triangles.

The four triangles are congruent to each other by SSS congruency. Thus their areas are equal.

Now the area of the shaded region is the area of the rectangle - 4(area of a triangle)

Area of rectangle = length × breadth

= 50 cm × 20 cm

= 1000 cm²

Area of one triangle = 1/2 × base × height

= 1/2 × 10 cm × 25 cm (the sides of the triangle are half of the sides of the rectangle)

= 5 cm × 25 cm

= 125 cm²

Area of four triangles = 4 × 125 cm²

= 500 cm²

Area of shaded region = 1000 cm² - 500 cm²

= 500 cm²

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