B 14.4 cm2
To calculate the area of Leah's hair bow model, we need to find the area of the rectangle and the two trapezoids separately and then add them together.
Rectangle:
Length = 6 cm
Width = 2 cm
Area = Length x Width = 6 cm x 2 cm = 12 cm^2
Trapezoids (2 of them):
Bases = 6 cm and 2.4 cm
Height = 2 cm
Using the formula for the area of a trapezoid, A = 1/2 x (base1 + base2) x height
Area = 1/2 x (6 cm + 2.4 cm) x 2 cm = 1/2 x 8.4 cm x 2 cm = 8.4 cm^2
Total area = Rectangle area + 2 x Trapezoid area
Total area = 12 cm^2 + 2 x 8.4 cm^2 = 29.4 cm^2
Therefore, the area of Leah's hair bow model is 29.4 cm^2. None of the given responses match this exact calculation, so an error may have occurred.
A model of the hair bow that Leah made is shown. The model is composed of a rectangle and 2 congruent trapezoids.
What is the area of Leah’s hair bow model in square centimeters?
Responses
A 50.4 cm250.4 cm 2
B 14.4 cm214.4 cm 2
C 147.6 cm2147.6 cm 2
D 82.8 cm2
1 answer
1 answer