So first 4x12 then divide that by 7
1. N is a midpoint of the segment KL, then N has coordinates
2. To find the area of △KNM, the length of the base MK is 2b, and the length of the height is a. So an expression for the area of △KNM is
3. To find the area of △MNL, the length of the base ML is 2a and the length of the height is b. So an expression for the area of △MNL is
4. Comparing the expressions for the areas you have that the area 
is equal to the area 
. This means that the segment from the midpoint of the hypotenuse of a right triangle to the opposite vertex forms two triangles with equal areas.
Answer:
8x + 5
Step-by-step explanation:
3 + 4x + 2 + 2x + 2x
3 + 2 = 5
4x + 2x = 6x
6x + 2x = 8x
Answer:
Step-by-step explanation:
<u>Trapezoid</u>
The trapezoid has been broken into two triangles and a rectangle. The two triangles both have the same dimensions, so both have the area ...
A = (1/2)bh = (1/2)(2 m)(5 m) = 5 m²
The rectangle has area ...
A = bh = (2 m)(5 m) = 10 m²
So, the total area of the trapezoid is ...
trapezoid area = 5 m² +10 m² +5 m²
trapezoid area = 20 m²
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<u>Kite</u>
The kite has been broken into two triangles, so the area of each of them is ...
A = (1/2)bh
A = (1/2)(7 m)(3 m) = (21/2) m²
Then the area of the two halves of the kite will be ...
kite area = 2 × (21/2 m²)
kite area = 21 m²
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The area of the trapezoid is <u>1 m² less than</u> the area of the kite.
