Question

The width of a rectangular room is 3/5 of x metres. If its perimeter is y metres write an equation connecting x and y . Find the floor area of the room if it's perimeter is 32 metres

Answer 1

hope this is correct...!!!

Answer 2

Answer:

y = 3.2

The floor area of the room = 60 m²

Step-by-step explanation:

As per the question,

Let the length of the rectangle be = x

Therefore,

Width = 3/5 of x metres = 0.6 x

Perimeter = y

since we know that perimeter of rectangle is given by

P = 2(length + width)

Therefore,

y = 2(x + 0.6x)

y = 3.2 x

Hence, an equation connecting x and y is y = 3.2 x.

Now,

P =  32 m

32 = 3.2x

x = 10 m

That is

length = 10 m

Width = 0.6 × 10 = 6 m

Area of rectangle is given by,

Area = length × width

Area = 10 × 6 = 60 m²

Hence,  the floor area of the room = 60 m²