Question

A builder wants to create a rectangular room in a house she wants it to have a total area of 375 square feet, and it should be 10 feet longer than it is wide

Answer 1

Answer:

Width = 15 ft

Length = 25ft

Step-by-step explanation:

Given that:

Total area = 375 ft²

Length = 10 + width

Let ;

Width = x

Length = x + 10

Area of a rectangle = Length * Width

Area of rectangle = 375 ft²

375 = x * (x + 10)

375 = X² + 10x

x² + 10x - 375 = 0

X² + 25x - 15x - 375 =. 0

x(x + 25) - 15(x + 25) = 0

x +. 25 = 0

x - 15 = 0

Hence,

x = - 25 or x = 15

X cannot be negative

Hence, x = 15

Width = 15 ft

Length = x + 10 = 15 + 10 = 25 ft