Thread: rectangle area problem

a rectangle is 2 metres longer than it is wide. If each side gets increased by 2 metres, then the area increases by 16 square metres. find the dimension of the rectangle?

so





is this the appropriate calculations to be done? how should i go about it for the rest . any help?

Originally Posted by jvignacio

a rectangle is 2 metres longer than it is wide. If each side gets increased by 2 metres, then the area increases by 16 square metres. find the dimension of the rectangle?

so





is this the appropriate calculations to be done? how should i go about it for the rest . any help?

Your question doesn't state that the area is 16 m² but that the area increases by 16 m².

Therefore the equation should be:

........ Remark: The 16 isn't squared, only the dimension of this value is m²

Now plug in the term for A:



Expand the brackets, collect like terms, ... in short: Solve for x.

I've got x = 2

Originally Posted by earboth

Your question doesn't state that the area is 16 m² but that the area increases by 16 m².

Therefore the equation should be:

........ Remark: The 16 isn't squared, only the dimension of this value is m²

Now plug in the term for A:



Expand the brackets, collect like terms, ... in short: Solve for x.

I've got x = 2

cheers mate now i understand

Originally Posted by earboth

Your question doesn't state that the area is 16 m² but that the area increases by 16 m².

Therefore the equation should be:

........ Remark: The 16 isn't squared, only the dimension of this value is m²

Now plug in the term for A:



Expand the brackets, collect like terms, ... in short: Solve for x.

I've got x = 2

ive got x = 2 and 6 ?

Originally Posted by jvignacio

ive got x = 2 and 6 ?

Well, this is the abbreviated version of the sentence:

The original rectangle has a width of 2 and a length of 4 while the greater rectangle has a width of 4 and a length of 6.

I hope that you meant this