Question

The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right angles.


What is the area, in square feet, of the shaded region?
Enter your answer in the box.
__square feet

What is the area, in square feet, of the nonshaded region?
Enter your answer in the box.
__square feet

Answer 1

no idea about this question please comment again

Answer 2

Given :- (from image)

• ABCD is a rectangle.
• AB = 8 feet .
• CD = 16 feet .
• GK = 8 feet .
• GD = 2 feet .
• JK = 2 feet .
• JI = 2 feet .
• HI = 1 feet .
• AE = AD - (EF + FG + FD) = 8 - (1 + 2 + 2) = 3 feet .
• EH = GK + JI = 8 + 2 = 10 feet.

To Find :-

• What is the area, in square feet, of the shaded region ?
• What is the area, in square feet, of the nonshaded region ?

Construction :-

• Join EH and FJ .

Solution :-

we know that,

• Area of rectangle = Length * Breadth .
• Area of right angled ∆ = (1/2) * Base * Height .

So,

→ Shaded Region Area = Area of Right angled ∆AEH + Area of rectangle EHIF + Area of Rectangle FGKJ

→ Shaded Region Area = (1/2) * AE * EH + EH * HI + JK * KG

→ Shaded Region Area = (1/2) * 3 * 10 + 10 * 1 + 2 * 8

→ Shaded Region Area = 15 + 10 + 16

→ Shaded Region Area = 41 feet². (Ans.)

therefore ,

→ Non - shaded Region Area = Area of rectangle ABCD - Shaded Region Area

→ Non - shaded Region Area = 16 * 8 - 41

→ Non - shaded Region Area = 128 - 41

→ Non - shaded Region Area = 87 feet². (Ans.)