Question

The floor of a room is in the shape of a rectangle.The floor is in c metres long.The width of the floor is 2 metres less than it’s length

Answer 1

Answer:

First thing I do is draw a picture.

Sur Area of the four walls = 2 x (height of wall x width) + 2 x (height of wall x length), which yields:

108 = 2 x (h x 5) + 2 x (h x 4).

So length = 6 meters

Answer 2

Given: The floor of a room is in the shape of a rectangle. The floor is c metres long. The width of the floor is 2 metres less than its length.

To find:

a.    i. the width of the floor

      ii. the area of the floor

b. If the area of the floor is 15 m², an equation in c to show this information.

c. The width of the floor using this equation.

Solution:

a.

i.

According to the question, the width of the floor is 2 metres more than its length which is c. So, the width can be written as follows.

$width = (c - 2)m$

ii.

The area of a rectangle is given as follows.

$Area = l * w$

Here, l is the length and w is the width of the rectangular floor.

$Area = c * (c-2)$

        $= (c^{2} - 2c) m^{2}$

b.

If the area was 15m², the equation for the area could be represented as follows.

$15 m^{2} = c^{2} - 2c$

c.

The equation formed can be written as a quadratic equation and the value of c can be found as follows.

$c^{2} - 2c - 15 = 0$

$c = 5$ or $c = -3$

The value of c cannot be negative so the value of c is 5 m. Now, the width can be calculated as follows.

$width = c - 2$

          $= 5 -2$

          $= 3 m$

Therefore,

a. i. the width of the floor is (c-2) m.

   ii. the area of the floor is (c²-2c) m².

b. If the area of the floor is 15 m², 15 = c²-2c.

c. The width of the floor is 3 m.

Although part of your question is missing, you might be referring to this full question:

The floor of a room is in the shape of a rectangle. The floor is c metres long. The width of the floor is 2 metres less than its length.

a. State, in terms of c

   i. the width of the floor

   ii. the area of the floor

b. If the area of the floor is 15 m², write down an equation in c to show this information.

c. Use this equation to determine the width of the floor.