Question

1. The length of the rectangular court is thrice its breadth. 3042 tiles each 13
squares, are used to pave it. Find the length of the court.​

Answer 1

The length of the court is 344.43 units

Step-by-step explanation:

GIVEN

Length = 3 × Breadth

3042 tiles each of 13 squares

___________________________

TO FIND

The length of the court

___________________________

We know that,

Area Of Court = 3042 × 13

Area Of Court = 39546

Area Of Court = 39546 unit²

___________________________

We know that,

Area Of Rectangle = Length × Breadth

39546 = 3x

39546 = 3x²

x = √ ( 39546 / 3 )

x = √13182

x = 114.812891 units

Breadth = 114.81 units

___________________________

We know that,

Length = 3 × Breadth

Length = 3 × 114.812891

Length = 344.438673

Length = 344.438673 units

The length of the court is 344.43 units