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question 9 (1 point) 4 16 m 8 m 5 m 10 m 4 m p = a = the area is square…

Question

question 9 (1 point)
4
16 m
8 m 5 m 10 m
4 m
p =
a =
the area is square meters.
blank 1:

Explanation:

Step1: Calculate the perimeter

Perimeter is the sum of all sides.
$$P = 16+8 + 4+10$$
$$P=38\space m$$

Step2: Calculate the area

The formula for the area of a trapezoid is $A=\frac{(a + b)h}{2}$, where $a$ and $b$ are the lengths of the parallel sides and $h$ is the height.
Here, $a = 16\space m$, $b = 4\space m$, $h = 5\space m$
$$A=\frac{(16 + 4)\times5}{2}$$
$$A=\frac{20\times5}{2}$$
$$A = 50\space m^{2}$$

Answer:

The perimeter \(P = 38\) meters. The area \(A=50\) square meters. So the area is \(50\) square meters.