Question

the diagonal of a rectangle 25root5 cm and its lenght is twice its breadth .Find the area and the perimeter​

Answer 1

Step-by-step explanation:

l = 2b

let the rectangle be abcd and ad be the diagonal

in triangle abd,

using pythagoras theorem,

ab²+bd² = ad²

l²+b² = 625×5

l²+4l²=625×5

5l²=625×5

l²=625

l=25

b=25/2

 =12.5cm

perimeter = 2(l+b)

                = 2(25+12.5)

                = 50 + 25

                =75cm

area = l × b

        = 25 × 12.5

        = 312.5cm²