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# Core 1: Word Questions. (?) watch

1. These questions keep giving me problems even though, I should have cracked them by now. So, could someone explain to me the method to working them out?

"The length of a rectangle is 3cm greater than its width. The area of the rectangle is 40cm². Find the length and width of the rectangle."

Thank you for any replies.
2. if the width is x, what's the length in terms of x?

what's the formula for area?
3. Let length = x

Does this help:

length * width = area

x(x-3)=40
4. Why is it minus 3, shouldn't it be plus 3?
I also don't understand why you multiply length by itself.
5. (Original post by 123mccann)
Why is it minus 3, shouldn't it be plus 3?
I also don't understand why you multiply length by itself.
lenght = width + 3

if length is x, then width + 3 = x so width = x - 3

you multiply length by width to get area

length = x

width = x - 3

area = x(x - 3)
6. (Original post by 123mccann)
Why is it minus 3, shouldn't it be plus 3?
I also don't understand why you multiply length by itself.
It depends what you make x equal.

If x is width, length is (x + 3) as it is 3cm longer than width.

However, if you want x to be the length, the width is (x - 3), as the width is 3cm shorter than length.

The area of rectangle is length x width. So you now have an expression for both length and width. Just multiply out x(x + 3) = 40; or x(x - 3) = 40.

The x in the first sum is the width, the x in the second sum is the length.
7. Oh right, thank you very much. I understand it now. I just find it difficult putting the question into an equation.
I'm pretty sure it will baffle me again next time.

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