contestada

The rectangle below has a total perimeter of 125 cm:

Picture of a rectangle with width of 5

Which of the following equations can be used to determine the length of the longer side of the rectangle?
A.) 2x + 10 = 125
B.) x + 5 = 125
C.) 5x = 125
D.) 25x = 125

Respuesta :

A rectangle has four sides, two equal to the width and two equal to the length. So, the perimeter is

[tex] p = 2w+2l [/tex]

If we know that the width is 5, and the perimeter is 125, we have

[tex] 125 = 2\cdot 5 + 2l \iff 125 = 10+2l[/tex]

In your case, the unkown is called x, but the concept is the same:

[tex] 2x+10 = 125 [/tex]

where x is the length of the rectangle.