Question

the length of a rectangle is twice it's breath if it's diagonal is 5/4cm find the perimeter of the rectangle

Answer 1

Answer:

3√5 / 2 = 3.35 cm

Step-by-step explanation:

Breadth = B

Length = 2B

Diagonal = √(Breadth²  + Length²)

=√(B² + (2B)²)

=√(B²+4B²)

=√(5B²)

=B√5

B√5  = 5/4

B = √5/ 4

Legth = 2√5/4 = √5/2

perimeter = 2 * (B+L) = 2* ( √5 /4 + √5/2)

=(2/4)(√5 +2√5)

= 3√5 / 2  cm