Question

# Given a rectangular room whose width is 4/7 of its length y and perimeter z. Write down an equation connecting y and z. Calculate the length of the rectangular room when the given perimeter is 4400 cm.

Hint:

### let the length of the rectangular room is y and width is 4/7 of length(i.e4y/7)

Perimeter of rectangular room z = 4400cm

Find perimeter in terms of lengths and width and solve to get the equation

Now substitute the value of z in the equation to get y.

## The correct answer is: 1400 cm.

### Ans :- length of rectangle is 1400 cm .

Explanation :-

Step 1:- frame the equation from the given set of conditions .

let the length of the rectangular room is y

width is 4/7 of length width = 4y/7

Perimeter of rectangle = 2(length + width) = 2(y + )

Z =

The equation connecting y and z is 22y = 7z

Step 2:- find the y by substituting z=4400cm(given)

∴ y = 1400 cm.

∴ length of the rectangle is 1400 cm .

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