Given that the blue triangle is a right triangle, which numbers COULD be the areas of the green, red, and yellow squares (in tha
t order)?
A) 6, 8, 14
B) 5, 9, 13
C) 6, 10, 14
D) 7, 11, 15
(can you please explain the answer)
A) 6, 8, 14
B) 5, 9, 13
C) 6, 10, 14
D) 7, 11, 15
(can you please explain the answer)
1 answer:
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Set up the following equations:
110 represents the lengths of the length and width of the triangle, as you'll divide total perimeter of the rectangle, 220, by 2 to find the individual lengths. 20 is the difference between the length and width.
We'll use elimination for this system of equations, as there are opposite coefficients for W in both equations. Combine the two equations:
Divide both sides by 2 to get L by itself:
The length of the rectangle is 65 feet.
Plug this value into the second equation:
Add W to both sides:
Subtract 20 from both sides:
The width of the rectangle is 45 feet.
110 represents the lengths of the length and width of the triangle, as you'll divide total perimeter of the rectangle, 220, by 2 to find the individual lengths. 20 is the difference between the length and width.
We'll use elimination for this system of equations, as there are opposite coefficients for W in both equations. Combine the two equations:
Divide both sides by 2 to get L by itself:
The length of the rectangle is 65 feet.
Plug this value into the second equation:
Add W to both sides:
Subtract 20 from both sides:
The width of the rectangle is 45 feet.