if a rectangial as a lenth of 7 in then whats the width of it if the perimeter is 34

Question

the lenth of a traingle is 7 inches and the width is not know but if the perimeter is 34 inches

Answer 1

This one looks really intimidating, but it's not that bad once you break it down. The perimeter of any shape is the length of all sides added together, and a rectangle has two sets of sides that are the same length. So we know the total of all sides is 34 inches, and that one side is 7 inches. By default we know that a rectangle must have another side of 7 inches long, which means that 14 inches are accounted for. So from there it's a simple 34-14= 20. 20 inches must account for the remaining two sides. Since we know that those sides must be the same length we then divide our 20 by 2 and get that the width is 10 inches long! Happy studying!

Answer 2

Here's what we know:

P = 2L + 2w (Perimeter is the 2 lengths and 2 widths added up.)

P = 34

L = 7

Let's start plugging in values:

34 = 2 * 7 + 2w

Divide both sides by 2:

17 = 7 + w

Subtract 7:

10 = w

 

Check:

34 = 2 * 7 + 2 * 10

34 = 14 + 20

34 = 34

Answer 3

A rectangle by definition has a length and a width. If the length is 7in, then there are two sides that are 7 inches long. So these two sides at 7 inches each make up 14inches of the perimeter. Total perimeter is 34 inches and we just accounted for 14 inches leaving us with 20 inches divided up evenly among the other two sides. The width of the rectangle must be 20/2 or 10 inches.