Rectangle Perimeter Equation: Solving for X when X+2 and X are Adjacent Sides (30cm)

Question

A rectangle has a perimeter measuring 30 cm.

One side of the rectangle is 2 cm longer than the adjacent side.

Calculate the length of the rectangle's shorter sides.

Video Solution

Solution Steps

00:00 Calculate the small side in the rectangle

00:03 The side according to the given data

00:08 In a rectangle, opposite sides are equal

00:19 The length of the side according to the given data

00:22 In a rectangle, opposite sides are equal

00:29 The perimeter of the rectangle equals the sum of its sides

00:39 Substitute appropriate values according to the given data and solve for X

00:55 Collect like terms

01:04 Isolate X (the small side)

01:14 And this is the solution to the question

Step-by-Step Solution

Since every pair of opposite sides in a rectangle are equal, we know that:

$AB=CD=x+2$

$AD=BC=x$

We can then create the following equation based on the given data:

$30=x+x+2+x+x+2$

$30=4x+4$

$30-4=4x$

$26=4x$

$x=6.5$

Answer

$6.5$

Related Subjects

Question Types

Addition, Subtraction, Multiplication and Division: Worded problems