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question what is the area, in square inches, of the trapezoid below? 5.…

Question

question
what is the area, in square inches, of the trapezoid below?
5.1 in
3.6 in
8.5 in
5 in
answer attempt 1 out of 2
$a = \square$ $in^2$
submit answer

Explanation:

Step1: Find the bottom base length

The bottom base $b_2 = 8.5 + 5.1 + 5 = 18.6$ in

Step2: Identify top base and height

Top base $b_1 = 5.1$ in, height $h = 3.6$ in

Step3: Apply trapezoid area formula

Area formula: $A = \frac{1}{2}(b_1 + b_2)h$
Substitute values:
$A = \frac{1}{2}(5.1 + 18.6) \times 3.6$

Step4: Calculate sum of bases

$5.1 + 18.6 = 23.7$

Step5: Compute final area

$A = \frac{1}{2} \times 23.7 \times 3.6 = 11.85 \times 3.6 = 42.66$

Answer:

$42.66$