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puteri [66]
3 years ago
5

Alice wants to put wall-to-wall carpeting in a small room with the floor plan shown.

Mathematics
1 answer:
AURORKA [14]3 years ago
3 0
I found the complete problem. 

If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h 
Trapezoid 1
A = [(7.5 + 15)/2 * 5
A = (22.5/2) * 5 
A = 11.25 * 5 
A = 56.25 sq. ft

Trapezoid 2
A = [(5 + 10)/2 * 7.5
A = (15/2) * 7.5
A = 7.5 * 7.5 
A = 56.25 sq. ft

Total area = 56.25 + 56.25 = 112.50 sq. ft.

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The slope is rise/run.

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The line AB has midpoint (2,5).<br> A has coordinates (1, 2).<br> Find the coordinates of B.
Gekata [30.6K]

Answer:

X_m = \frac{A_x +B_x}{2}= \frac{1+B_x}{2}= 2

And we can solve for B_x and we got:

1+B_x = 4

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Y_m = \frac{A_y +B_y}{2}= \frac{2+B_y}{2}= 5

And we can solve for B_x and we got:

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So then the coordinates for B are (3,8)

Step-by-step explanation:

For this case we know that the midpoint for the segment AB is (2,5)

And we know that the coordinates of A are (1,2)

We know that for a given segment the formulas in order to find the midpoint are given by:

X_m = \frac{A_x +B_x}{2}= \frac{1+B_x}{2}= 2

And we can solve for B_x and we got:

1+B_x = 4

B_x = 3

Y_m = \frac{A_y +B_y}{2}= \frac{2+B_y}{2}= 5

And we can solve for B_x and we got:

2+B_y = 10

B_y = 8

So then the coordinates for B are (3,8)

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3 years ago
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