Question

the length of a rectangle is three times it's breadth • the perimeter of the rectangle is equal to that of a square whose area is 625cmsquare • find the area of the rectangle​

Answer 1

Answer:

(625)square is 25 answer

Answer 2

Answer :

• Area of rectangle is 468.75cm²

Given :

• The length of a rectangle is three times its breadth
• The perimeter of the rectangle is equal to that of a square whose area is 625 cm²

To find :

• Area of the rectangle

Solution :

Given , the length of a rectangle is three times its breadth

• Let the length be 3x
• Let the breadth be x

As we know that ,

• Perimeter of rectangle = 2(l + b)

• Perimeter of rectangle = 2(3x + x)

Now , we have to find the perimeter of square using the Area of square,

And also Given that, the perimeter of the rectangle is equal to that of a square whose area is 625 cm²

• Area of square = a²

》Area of square = a²

》a² = 625

》a = 25

We know that, Perimeter of square = 4a

》Perimeter of square = 4a

》4 × 25

》100cm

Now, Perimeter of rectangle = Perimeter of square

》2(x + 3x) = 100

》2x + 6x = 100

》8x = 100

》x = 100/8

》x = 12.5 cm

• Length = 3x = 3(12.5) = 37.5cm
• Breadth = x = 12.5cm

Now , we have to find the area of rectangle

we know that,

• Area of rectangle = l × b

Where , l is length and b is breadth

》Area of rectangle = length × breadth

》37.5 × 12.5

》468.75 cm²

Hence , Area of rectangle is 468.75cm²