Answer:
area of the rectangle =
[tex] {93.75cm}^{2} [/tex]
Step-by-step explanation:
width = x cm
length = x + 5 cm
Perimeter = 2(length + width)
[tex]p = 2(x + (x + 5)) \\ 40 = 2(x + x + 5) \\ 40 = 2(2x + 5) \\ 40 = 4x + 10 \\ 40 - 10 = 4x \\ 30 = 4x \\ \frac{30}{4} = x \\ 7.5 = x[/tex]
width = 7.5cm
length = 7.5 + 5 = 12.5cm
Area of the rectangle = length × width
[tex]a = 12.5cm \times 7.5 cm\\ a = 93.75 {cm}^{2} [/tex]
