Question

A rectangle measures (x-1) m by $\frac{4x}{2x - 1}$ m.
The perimeter of the rectangle is 8 m.
Prove that the area of the rectangle is 3.75m².

Answer 1

Answer:

x = 5/2

Step-by-step explanation:

given perimeter = 8

2[(x-1) + {4x/(2x-1)} = 8

by solving we will get a quadratic equation

2(x^2) - 7x + 5 = 0

whose roots are x1 = 5/2, x2 = 2

x1 satisfies the condition of perimeter when substituted in perimeter formula

now area of rectangle

length = (x -1) = (5/2 -1) = 3/2

breadth = 4x/(2x-1) = 5/2

area = l*b = (3/2)*(5/2) = 3.75