Question

What is the area of this figure? Part 14 NO LINKS​

Answer 1

Find the area of the unshaded region(s):

• (11 x 5) + (6 x 10) + (7 x 10)
• => (55) + (60) + (70)
• => 185 ft²

Find the area of the rectangle (Refer to image):

• 45 x 21
• => 945

Subtract the area of the unshaded region from the area of the rectangle.

• 945 - 185
• => 760 ft²

The area of the figure is 760 ft².

Answer 2

760 ft²

Explanation:

Extending the horizontal lines divides this rectangle into three rectangular parts:

top: 11 ft by 16 ft

middle: 24 ft by 21 ft

bottom: 10 ft by 8 ft

The total area is the sum of the areas of these rectangles, found by multiplying length by width.

A = (11×16 +24×21 +10×8) ft² = (176 +504 +80) ft² = 760 ft²