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Ray Of Light [21]
3 years ago
11

The length of a rectangle is 3ft less than double the width, and the area of the rectangle is 14ft^2 find the dimensions of rect

angle.
Mathematics
1 answer:
german3 years ago
6 0

Answer: 4\times 3.5\ ft^2

Step-by-step explanation:

Given

area of the rectangle is A=14\ ft^2

Suppose width is given by w

So, length is l=2w-3

The area of a rectangle is A=l\times w

putting values

\Rightarrow A=(2w-3)w\\\Rightarrow 14=2w^2-3w\\\Rightarrow 2w^2-3w-14=0\\\Rightarrow 2w^2-7w+4w-14=0\\\Rightarrow w(2w-7)+2(2w-7)=0\\\Rightarrow (2w-7)(w+2)=0\\\\\Rightarrow w=\dfrac{7}{2}\ ft

length is l=4\ ft

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