The length of a rectangle is 3x+5 and its width is 2x. The perimeter is 110 cm. What is the area of the rectangle?

Question

Please help! I would be very grateful for help on this maths question ASAP.

Answer 1

Hi Lydia. So the way I would approach this problem is to list out the things we know:

Perimeter =100 cm

Length = 3x + 5

Width = 2x

And, if we recall from class that Perimeter = the boundary of the figure or in other words,

Perimeter = Length + Length + Width + Width

if we condense that

Perimter = 2(Length) + 2(Width)

Now we can see how the answer forms. If we plug in our equations from above:

100 = 2(3x + 5) + 2(2x)

Distributing

100 = 6x + 10 + 4x

And now if you re-arrange the problem you can solve for X.