Mathematics: Iwill give brainestwhat is the area of figure abcd? a trapezoid abcd is drawn with length of parallel sides ab and cd equal to 14 inches and 18 inches, respectively. the length of one of the non-parallel sides bc is 7 inches. side bc is perpendicular to dc. a perpendicular line drawn from a to side cd meets cd at e. 84 square inches 98 square inches 105 square inches 112 square inches

Iwill give brainestwhat is the area of figure abcd?

Ответ:

fahaddakhil3186

09.03.2022

Mathematics

112 square inches

Step-by-step explanation:

The area of trapezoid is given by :-

$\text{Area}=\frac{1}{2}\times(a+b)h$ , where a and b are the opposite parallel sides and h is the height of the trapezoid.

From the given picture the area of trapezoid ABCD with height 7 inches and opposite parallel sides 14 inches and 18 inches is given by:-

$\text{Area}=\frac{1}{2}\times(14+18)7\\\Rightarrow\text{Area}=\frac{1}{2}(32)(7)\\\Rightarrow\ \text{Area}=16\times7\\\Rightarrow\text{Area}=112\ inches^2$

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Ответ:

iicekingmann

09.03.2022

Mathematics

D. $112\text{ in}^2$

Step-by-step explanation:

We have been given an image of a trapezoid. We are asked to find the area of our given trapezoid.

$\text{Area of trapezoid}=\frac{1}{2}*(\text{Sum of parallel sides})*\text{Height}$

Since side BC is perpendicular to DC, so height of trapezoid will be equal to BC that is 7 inches.

Upon substituting our given values in above formula, we will get:

$\text{Area of trapezoid}=\frac{1}{2}*(\text{14 in+18 in})*\text{7 in}$

$\text{Area of trapezoid}=\frac{1}{2}*(\text{32 in})*\text{7 in}$

$\text{Area of trapezoid}=\text{16 in}*\text{7 in}$

$\text{Area of trapezoid}=112\text{ in}^2$

Therefore, the area of our given trapezoid is 112 square inches and option D is the correct choice.

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Ответ:

graciearany

07.08.2022

Mathematics

39,483 and sure let’s talk ..

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