Question

1. What is the area of the trapezoid? The diagram is not drawn to scale. (1 point)
cm
O 14 cm
O 20 cm
38 cm
O 56 cm

Answer 1

Answer:

56 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h(a + b)

where h is the perpendicular height and a, b the parallel bases

here h = 4, a = 5 + 9 + 5 = 19 and b = 9, thus

A = $\frac{1}{2}$ × 4 × (19 + 9) = 2 × 28 = 56 cm²

Answer 2

Answer:

I would go with with 56 cm^2

Step-by-step explanation:

Area of rectangle=L*W,Area of triangle=B*H*1/2

the area of rectangle shows that length times width would equal the area of a rectangle which is one of the shapes from the trapezoid,so 4*9=36 cm

then there are also the base and height of both triangles shown are the exact same so 4*5*1/2=10 cm,4*5*1/2=10cm

the last step is to add all the numbers together,so 10+10+36=56 cm^2