Question

The rectangle of length is thrice the side of square and width of the 5cm greater than square if area of rectangle is 4times area of square find the dimensions of each

Answer 1

Answer:

square side = 15 cm

Length & breadth of rectangle = 45 & 20 cm

Step-by-step explanation:

Let side of square = x  cm

Area of Square = x^2  cm^2

Length of rectangle = 3x   cm

Breadth of Rectangle = x +5   cm

Area of rectangle = 3x(x+5)    cm^2

3x(x+5) = 4x^2

3x^2 + 15x = 4x^2

x^2 = 15x

x = 15

side of squares = 15 cm

Length of rectangle = 3*15 = 45 cm

Breadth of rectangle = 15 + 5 = 20 cm