Question

Find the area of the marked trapezoid on this composite figure.

Answer 1

First, can you find x and y?

Answer 2

how would i find that

Answer 3

Well first look at the rectangle above the trapezoid, notice that x has the same length as 8, which means x has to be 8, correct?

Answer 4

yes

Answer 5

Then look at y, you can see that 12 - y = 6 from the rectangle, which means y must also be 6.

Answer 6

So 96?

Answer 7

The formula for a trapezoid is \[\frac{ b_1+b_2*h }{ 2 }\]

Answer 8

\[ (b_1+b_2)\]

Answer 9

so the base is 16 right?

Answer 10

The equation is the average of the bases * the height

Answer 11

There are two bases. The bases are the two parallel but unequal sides. Base one is 6, and base two is 16.

Answer 12

oh so 6+16

Answer 13

22 x 12

Answer 14

so 132?

Answer 15

My bad. This is what you know. Base 1: 8, Base 2: 16, Height: 6. The formula describes the average of the two bases, not the sum. Then it multiplies by the height.

Answer 16

my answer options are 96,72,48, and 54

Answer 17

Alright, but you need to be able to calculate the area of a trapezoid.\[\frac{ (b_1 + b_2) h}{ 2 }\]

Answer 18

(8+16) 6
over 2?

Answer 19

oh so 72

Answer 20

That's right.

Answer 21

could you help me with the top part of that.

Answer 22

or i guess its the whole thing

Answer 23

its Find the area of the composite figure.

Answer 24

The top part is just a rectangle, multiply the base and the height. Then add that to the trapezoid to find the composite area.

Answer 25

alright so 120