SOLUTION: I do not understand how to set this problem up.
A small city park consists of a rectangular lawn surrounded on all sides by a 330m2(squared) borded of flowers 2.5m wide. Find t
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-> SOLUTION: I do not understand how to set this problem up.
A small city park consists of a rectangular lawn surrounded on all sides by a 330m2(squared) borded of flowers 2.5m wide. Find t
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Question 64387This question is from textbook Algebra Structure and Method
: I do not understand how to set this problem up.
A small city park consists of a rectangular lawn surrounded on all sides by a 330m2(squared) borded of flowers 2.5m wide. Find the area of the lawn if the entire park is 5m longer than it is wide. This question is from textbook Algebra Structure and Method
You can put this solution on YOUR website! A small city park consists of a rectangular lawn surrounded on all sides by a 330m2(squared) borded of flowers 2.5m wide. Find the area of the lawn if the entire park is 5m longer than it is wide.
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Draw the picture: a rectangle inside a larger rectangle.
Let the dimensions of the outer rectangle be x and x+5; label the picture with these dimensions.
The dimensions of the inner rectangle are x-5 and x+5-5=x because the border
is 2.5 on each side. These are the dimensions of the lawn.
The area of the lawn is therefore (x)(x-5) or x^2-5x
We need to find "x".
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EQUATION:
Area of outer rectangle - Area of inner rectangle = 330 m^2
x(x+5)-(x(x-5))=330
x^2+5x-x^2+5x=330
10x=330
x=33 meters
Lawn area = x(x-5)= 33(28)= 924 m^2
Cheers,
Stan H.
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