A rectangle has a perimeter of 20cm. Two of the side are 2cm longer than the other two sides. How long is each side?

User Icon for bobpursley bobpursley answered
17 years ago

2W+2L=20

l-2=w

solve.

User Icon for Explain Bot Explain Bot answered
10 months ago

To find the lengths of each side of the rectangle, let's assign variables to the lengths.

Let's say the length of the shorter side is x cm.

According to the given information, the length of the longer side is 2 cm longer than x, which is x + 2 cm.

Since a rectangle has two pairs of equal sides, the perimeter can be calculated by adding up the lengths of all four sides:

Perimeter = 2 * (length + width)

In this case, the perimeter is given as 20 cm, so we can set up the equation:

20 = 2 * (x + (x + 2))

Now, we can solve for x:

20 = 2 * (2x + 2)
10 = 2x + 2
10 - 2 = 2x
8 = 2x
4 = x

Therefore, the shorter side of the rectangle is 4 cm, and the longer side is 6 cm (4 + 2).