Question

The figure shown is created by joining three rectangles. Enter the area of the figure, in square centimeters. Round to the nearest hundredth.

Answer 1

46.75 cm²

Explanation:

The figure can be decomposed into 3 rectangles.

Area of the figure = area of rectangle A + area of rectangle B + area of rectangle C

✔️Area of rectangle A = L*W

L = 4 cm

W = 5½ cm = 5.5 cm

Area = 4*5.5 = 22 cm²

✔️Area of rectangle B = L*W

L = 8½ - (4 + 3) = 8½ - 7 = 1.5 cm

W = 5½ - 2 = 3.5 cm

Area = 1.5*3.5 = 5.25 cm²

✔️Area of rectangle C = L*W

L = 3 cm

W = 6½ cm = 6.5 cm

Area = 3*6.5 = 19.5 cm²

✔️Area of the figure = 22 + 5.25 + 19.5 = 46.75 cm²