A group of art students are painting a mural on a wall. the rectangular wall has dimensions of (6x + 7) by (8x + 5) and they are
planning the mural to be (x + 4) by (2x + 5). what is the area of the remaining wall after the mural has been painted?
1 answer:
First: Find x
I used the larger rectangle first but you can do either one.
I added (8x+5) + (8x+5) + (6x+7) + (6x+7) =360
I made the sides equal to 360 because a square’s interior angles are equivalent to 360 degrees.
(8x+5) + (8x+5) + (6x+7) + (6x+7) =360
28x+24 = 360
28x = 336
X = 12
Next: Implement 12 in for x in every equation and follow the formula for a rectangle’s area.
A = b*h
BIG SQUARE:
(8(12)+5) + (8(12)+5) + (6(12)+7) + (6(12)+7)
=360
LITTLE SQUARE:
2((2(12)+5) + (6(12)+7)) = 90
Lastly: Subtract the little squares area from the biggest square
360 - 90 = 270
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Your answer
F(x1) = 350 -17.5x
F(x2) = 350 - 30x
F( x1-x2) = 12.5x
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