The floor of a shed given on the right has an area of 85 square feet. the floor is in the shape of a rectangle whose length is 7 feet less than twice the width. find the length and the width of the floor of the shed.

Length = 10 feet and width = 8.5 feet.

Step-by-step explanation:

Let x be the width of the floor.

Then length of the floor =

Given : The area of the floor = 85 square feet

We know that the area of a rectangle is given by :-

But dimension cannot be negative

So, the width of the floor =

And the length of the floor =

The width of rectangular floor shed =8.5 feet

Length of rectangular floor shed=

Step-by-step explanation:

We are given that a floor is in rectangular shape.

We have to find the length and width of rectangular floor shed.

The area of floor shed=85 square feet

Let width of floor shed=x feet

Length of floor shed=(2 x-7 ) feet

Area of rectangle=

According to question

Area of rectangular floor shed=

It is a quadratic equation

Using factorization method

x=-5 is not possible because length and breadth of rectangle are always a natural number .

Therefore, the width of rectangular floor shed =8.5 feet

Length of rectangular floor shed=

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the graph line crosses the x axis at both -6 and -2, so the answer would be the second one.