Question

help!

Answer 1

So we know that the top side of the rectangle is 3, which also means the bottom side of the rectangle is also 3.

Answer 2

The total length of the bottom side is 5. We just said that the bottom side of the rectangle is 3. So 5 - 3 = 2. 2 is the bottom length of the triangle

Answer 3

ok i figured that out,

Answer 4

@happyrosy

Answer 5

6.7?

Answer 6

\[\sqrt{45}\]

Answer 7

Did you know that this is a trapezoid. Area of a trapezoid is calculated by this formula:

\[A = (\frac{ b _{1} + b _{2}}{ 2 }) * h\]

Answer 8

That other drawing had a mistake. The above one is correct.

Answer 9

To find the other leg of the triangle, use the Pythagorean Theorem.

\[c ^{2} = a ^{2} + b ^{2}\]

Answer 10

well the Pythagorean theorem can be used.

Answer 11

Yes correct

Answer 12

yes i figured out the answer it's the square root of 45.

Answer 13

You said square root of 45, which is correct.

Answer 14

Okay so we found all the necessary lengths. Now we have to calculate using the formula for area of a trapezoid

Answer 15

Okay so Base 1 = 3 and Base 2 = 5, the total bottom length of the trapezoid

Answer 16

Find the average between the 2 bases. 3 + 5 = 8. 8/2 = 4
Average is 4. Then multiply this number by the height which is the square root of 45

Answer 17

\[A = 4\sqrt{45}\]

which is
\[A = 4 * (\sqrt{9} * \sqrt{5})\]

which is
\[A = 4 * (3\sqrt{5})\]

which is simplified to
\[A = 12\sqrt{5}\]

Answer 18

Rounded to the nearest tenth would be 26.8