# Weird question???

#### GAVREED2

This question is in my engineering course and i am having lots of trouble with it. Mainly because i thought you could only find measurements for the length and breadth of rectangle if you are given the perimeter and area, however this question only gives you the perimeter. HERE'S THE QUESTION ANYWAY.

1) A rectangle has a perimeter of 26m.
a)Express its length(l) in terms of the breadth(b)?
b) Write an expression for the area of the rectangle in terms of (b) only?
c) Find the breadth of this rectangle if its area is 38metres^2

#### harish21

This question is in my engineering course and i am having lots of trouble with it. Mainly because i thought you could only find measurements for the length and breadth of rectangle if you are given the perimeter and area, however this question only gives you the perimeter. HERE'S THE QUESTION ANYWAY.

1) A rectangle has a perimeter of 26m.
a)Express its length(l) in terms of the breadth(b)?
b) Write an expression for the area of the rectangle in terms of (b) only?
c) Find the breadth of this rectangle if its area is 38metres^2
If $$\displaystyle l$$ is the length and $$\displaystyle b$$ is the breadth of the rectangle, then its perimeter is $$\displaystyle P=2(l+b)$$

so you have: $$\displaystyle 2(l+b)=26$$

(a) $$\displaystyle 2(l+b)=26 \implies (l+b)=13 \implies l = 13-b$$

(b) $$\displaystyle \mbox{Area} = l \times b = (13-b) b$$

(c)$$\displaystyle (13-b)b = 38$$ solve for b

• GAVREED2

#### GAVREED2

Thanks!

Cheers mate! I get the question now lol...actually fairly simple.