Perimeter:
Area:
Step-by-step explanation:
Perimeter of a rectangle : P= 2( L + w)
in this case it would be 2(y+6) + 2(2y)
= 2y+12 + 4y
simplified to 6y +12
Area of a rectangle : A= LW
=(y+6)(2y)
We foil and get
Write a proportion for this situation, and then solve.
1 answer:
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Answer:
The rug should be 15 ft wide and 28 ft long.
Step-by-step explanation:
I have attached a figure that represents the situation.
The the rug is by
, the width of the strip of floor is
.
We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that
<em>(this says the area of the rug must be 420 square feet)</em>
From the figure we see that
Therefore,
We expand this equation and get:
using the quadratic equation we get two solutions:
since the second solution, namely , is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take
to be our solution.
Now we find the dimensions of the rug:
The rug is 15 ft wide and 28 ft long.
