The perimeter of a rectangle is 70. One side of the rectangle is 3 times the length of the other. What are the sides of the rectangle?
By definition, a rectangle has two sides which equal each other and a top & bottom which equal each other: A dollar bill is a good example.
The perimeter is the distance around the rectangle: Side + Side + Top + Bottom. Your problem states that one of the sides is 3 times longer than the other, so you know that the Top and Bottom each equal 3xSides.
By substitution, the perimeter now = Side + Side + 3 Sides + 3 Sides, which equals 8 sides in length (1+1+3+3=8). You're told that the perimeter is 70 (units?), so each side is 70/8 units, which is 8.75 (units). The top and bottom are each 3sides long, which equals 3*8.75 = 26.25 (units):
Double check by adding the 4 lengths together: 8.75 + 8.75 + 26.25 + 26.25 = 70. Yep, it works.
By definition, a rectangle has two sides which equal each other and a top & bottom which equal each other: A dollar bill is a good example.
The perimeter is the distance around the rectangle: Side + Side + Top + Bottom. Your problem states that one of the sides is 3 times longer than the other, so you know that the Top and Bottom each equal 3xSides.
By substitution, the perimeter now = Side + Side + 3 Sides + 3 Sides, which equals 8 sides in length (1+1+3+3=8). You're told that the perimeter is 70 (units?), so each side is 70/8 units, which is 8.75 (units). The top and bottom are each 3sides long, which equals 3*8.75 = 26.25 (units):
Double check by adding the 4 lengths together: 8.75 + 8.75 + 26.25 + 26.25 = 70. Yep, it works.
