Question

the area and perimeter of a square are in ratio 5:2,while that of square park are in ratio 3:1 .Which of these has greater side length

Answer 1

Answer:

perimeter of square are in ratio = 5:2

sum of the ratio = 5x+2x = 7x

length = 5/7×180 =128.57

breadth = 2/7 × 180 = 51.42

Square park in ratio = 3:1

sum of the ratio = 3x+1x =4x

length = 3/4 × 180 = 135

breadth = 1/4×180 = 45

therefore,Square park has greater side length

Answer 2

Answer:

Step-by-step explanation:

Step 1 of 3

Let the side length of the square field be a.

⇒a2:4a=5:2

⇒a24a=52

⇒a4=52 (simplifying the left side)

⇒a=52×4

⇒a=10

So, the side length of the square field is 10 units.

Step : 2 of 3

Now, let the side length of the square park be b.

⇒b2:4b=5:2

⇒b24b=31

⇒b4=31 (simplifying the left side)

Step 3 of 3

⇒b=31×4

⇒b=12

So, the side length of the square park is 12 units.

Hence, the park has a greater side length.

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