Question

the area of a square field is 625 m square a rectangular field whose length is 4 times its breadth has its parameter equal to the perimeter of square feet find the area of the rectangle field

Answer 1

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Answer 2

STEP 1 : Find the length of the square:

Area = Length x Length

Length² = Area

Given that the Area is 625 m²

Length² = 625

Length = √625

Length = 25 m

STEP 2: Find the Perimeter of the square:

Perimeter = 4 x Length

Perimeter = 4 x 25 = 100 m

STEP 3: Find the Length and Breadth of the rectangle:

Let the breadth be x

Length = 4x

Given that it has the same perimeter as the square:

2 (x + 4x) = 100

2(5x) = 100

10x = 100

x = 10

Breadth = x = 10 m

Length = 4x = 4(10) = 40 m

STEP 5: Find the area:

Area = Length x Breadth

Area = 10 x 40 = 400 m²

Answer: The area is 400 m²