Question

a 75 metre long piece of wire is cut into two parts one wing 30 metre long if each part is bent to form a square what is the ratio of the area of the largest square to the smaller square

Answer 1

Answer:

4:9

Step-by-step explanation:

Given,

The total length of the wire is 75 metres.

Length of one piece of wire is 30 metres

To find,

Ratio of the area of largest square to the smallest square.

Solution,

The length of the another piece of wire

= Total length - Length of one piece of wire

= 75 - 30

= 45 metres

Length of one side of the smaller square = 30/4 = 7.5 metres

Area of the smaller square = (7.5)² = 56.25 m²

Length of one side of the bigger square = 45/4 = 11.25 metres

Area of the bigger square = (11.25)² = 126.5625 m²

The ratio = 56.25 : 126.5625 = 4:9

Hence, the ratio is 4:9