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3 years ago

I marked all 3 parts. I need to know part C (the shaded part). anybody mind helping?

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

6 0

Answer:

Area of shaded part ABCEF = 66 sq.cm

Step-by-step explanation:

AB = 8cm

CD = 8cm

Let DE = x cm

CE = 3x cm

CD = CE + DE = 8cm

x + 3x = 8

4x = 8

x = 8/4 = 2 cm

DE = 2cm

CE = 3 * 2 = 6 cm

Area of triangle ADE = 1/2 * base * height

= 1/2 * DE * AD

= 1/2 * 2 * 11 = 11 sq. cm

Area of triangle AEF = Area of triangle ADE = 11 sq. cm

Area of Rectangle ABCD = l * b = 8 * 11 = 88 sq.cm

Area of shaded part ABCEF = Area of Rectangle ABCD - (Area of triangle AEF + Area of triangle ADE)

= 88 - ( 11 + 11 ) = 88 -22 = 66 sq.cm

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I marked all 3 parts. I need to know part C (the shaded part). anybody mind helping?​

I marked all 3 parts. I need to know part C (the shaded part). anybody mind helping?