Answered

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Tom, Jim, and Matt want to build a castle next to their swing set. The
castle is as wide as the swing set, and 6 feet long. The additional play
area is enlarged to yield the following layout !

Sagot :

abidemiokin

The value of a, b and c are 2, 17, and 30 respectively.

Area of a rectangle

The given diagram is rectangular in nature

  • The area of a rectangle = length * width

Given

Length = 6 + x

Width = 5 + 2x

Take the product of the sides

Area = (6 + x)(5 + 2x)

Area = 30 + 6(2x) + 5x + 2x^2

Area = 2x^2 + 17x + 30

Compare with ax^2 + bx + c

ax^2 = 2x^2

a = 2

Similarly

bx = 17x

b = 17

c = 30

Hence the value of a, b and c are 2, 17, and 30 respectively.

Learn more on area of the rectangle here: https://brainly.com/question/25292087

View image abidemiokin
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