Question

A rod 28 centimeters long is to be bent to make a rectangle.

i. Can a rectangle of diagonal 8 centimeters be made?

ii. Can a rectangle of diagonal 10 centimeters be made?

iii. How about a rectangle of diagonal 14 centimeters?

Calculate the lengths of the sides of the rectangles that can be made.

Answer 1

Sub. eqn (i) in eqn (ii),

∴ Cannot make a rectangle of diagonal 8 centimetres.

Sub. eqn (i) in eqn (ii),

∴ Cannot make a rectangle of diagonal 10 centimetres.

∴ Cannot make a rectangle of diagonal 14 centimetres.