the image of a trapezoid is shown. what is the area of the trapezoid? 20.2 m² 43.4 m² 33.4 m² 86.8 m²
the image of a trapezoid is shown. what is the area of the trapezoid? 20.2 m² 43.4 m² 33.4 m² 86.8 m²
Answer
Explanation:
Step1: Find the sum of the two bases
The two bases of the trapezoid are (4 + 7=11) m and (3) m. The sum of the bases (b_1 + b_2=(4 + 7)+3=14) m.
Step2: Apply the trapezoid area formula
The area formula of a trapezoid is (A=\frac{(b_1 + b_2)h}{2}), where (h = 6.2) m (height). Substitute (b_1 + b_2 = 14) and (h=6.2) into the formula: (A=\frac{14\times6.2}{2}). First calculate (14\times6.2 = 86.8), then (\frac{86.8}{2}=43.4).
Answer:
(43.4\space m^{2}) (the second option)