Question

A piece of wire is shaped to enclose a square whose area is 169 cm². It is then reshaped to enclosed a rectangle whose length is 5 cm. how many square centimeters(cm²) is the area of the rectangle?

Answer 1

length of the square $=\sqrt{169}=13cm$

perimeter $=13\times4=52cm$

for the rectangle, perimeter $=52=2(l+w)$

$52=2(5+w)$

$26=5+w, w=26-5=21cm$

$area=21\times5=105cm^2$