Question

the perimeter of a rectangle is one third of that of a square if the side of a square is 15 cm and if it is double of the length of the rectangle then find the area of the rectangle​

Answer 1

Answer:

18.75 cm square

Step-by-step explanation:

side of square is 15 cm

thus perimeter of square is 15*4=60 cm

perimeter of rectangle=1/3 of perimeter of square

perimeter of rectangle=1/3 * 60=20 cm

side of rectangle=1/2 side of square

side of rectangle=1/2 15 =7.5 cm

since opposite sodes are congruent of rectangle

let unkown side be x

thus

x+x+7.5+7.5=20=perimeter of rectangle

2x+15=20

x=2.5 cm

area of rectangle= 2.5*7.5=18.75 cm square