Question

5) The floor of a room is in the shape of

a rectangle. The room is c meters long
and the width of the room is 2cm less
than its length.
a) write in terms of c;
i) the width of the floor
ii) the area of the floor
b) If the area of the room is 15cm²,
write down an equation in c to show
this information.
c) Use the equation to find the length
and width of the room.

Answer 1

Answer: a) i) The width of the floor can be expressed in terms of c as: w = c - 2 cm.

ii) The area of the floor can be expressed in terms of c as: A = c * (c - 2) cm^2.

b) If the area of the room is 15 cm^2, then we can write the equation as:

c * (c - 2) = 15.

c) Solving for c, we get:

c^2 - 2c - 15 = 0.

Using the quadratic formula, we find that:

c = 5 or c = -3.

Since the length of the room cannot be negative, we choose c = 5.

Therefore, the length of the room is 5 cm and the width of the room is 3 cm.

Explanation: