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kondor19780726 [428]

2 years ago

7

The area of a rectangular wall of a barn is 20 square feet. Its length is 8 feet longer than the width. Find the length and widt

h of the wall of the barn.

1 answer:

Margarita [4]2 years ago

4 0

Answer:

It there a picture

Step-by-step explanation:

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In trapezoid ABCD with legs AB and CD , diagonals BD ∩ AC =M so that BM:MD=1:4. Find AAMD, ACMD, and AACD if the area of AABM=8

bazaltina [42]

Answer:

Area of triangle AMD is 32 square inches.

Area of triangle CMD is 8 square inches.

Area of triangle ACD is 40 square inches.

Step-by-step explanation:

In trapezoid ABCD with legs AB and CD.

Diagonal BD and AC intersect at M so that BM:MD=1:4

We are given ar(ABM)=8 in²

Ratio of area of two triangle is equal to ratio of their base.

$\dfrac{ar(ABM)}{ar(AMD)}=\dfrac{BM}{MD}$

$\dfrac{8}{ar(AMD)}=\dfrac{1}{4}$

$ar(AMD)=32\text{ in}^2$

Thus, Area of triangle AMD is 32 square inches.

If two triangles lie on same base and same parallel line then their area is equal.

$\therefore ar(ABD)=ar(ACD)$

$ar(ACD)=ar(ACD)=ar(AMD)+ar(ABM)$

$ar(ACD)=8+32\Rightarrow 40\text{ in}^2$

Thus, Area of triangle ACD is 40 square inches.

$ar(CMD)=ar(ACD)-ar(AMD)$

$ar(CMD)=40-32\Rightarrow 8\text{ in}^2$

Thus, Area of triangle CMD is 8 square inches.

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3 years ago

What is 66.875 as a mixed number in simplest form.?

antoniya [11.8K]

66.875 = 66 7/8 as a mixed number

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3 years ago

Help! I need this for tomorrow!

Masja [62]

1. 1/2- you count the total (8) and then count the two and all the numbers greater than 5( don’t count 5) that is 4 so it would be 4/8 simplified to 1/2

2. 1/2- count the total (still 8) and how many prime numbers there are (4- 2,3,5, and 7) the answer is 4/8 simplified to 1/2

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3 years ago

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