The perimeter of a rectangle is 50

Question

cm. The length is 2x
cm. Determine the breadth in terms of x
.

Answer 1

Let the breadth of the rectangle be y cm.

Perimeter of a rectangle = 2(length + breadth)

Given, perimeter = 50 cm
Length = 2x cm
Breadth = y cm

So, we can write the equation as:
2(2x + y) = 50

Simplify the equation:
4x + 2y = 50
2y = 50 - 4x
y = (50 - 4x)/2
y = 25 - 2x

Therefore, the breadth of the rectangle in terms of x is y = 25 - 2x cm.