Question

Annie grows strawberries in her backyard which is in the shape of a square. Each tomato takes 1 cm² in her backyard. This year, she has been able to grow 131 more strawberries than last year. The shape of the backyard remained a square. How many strawberries did Annie produce this year?

1. 4456
2. 4356
3. 4536
4. 4326

Answer 1

Correct Answer - Option 2 : 4356

Calculation:

Let the area of the backyard be x² this year and y² last year

∴ X² – Y² = 131

⇒ (X + Y) × (X - Y) = 131

Now, 131 is a prime number.

⇒ (X + Y) × (X - Y) = 131 x 1

⇒ X + Y = 131

X - Y = 1

⇒ 2X = 132

⇒ X = 66

and Y = 65

∴ Number of strawberries produced this year = 66²

⇒ 4356

∴ Annie produced 4356 strawberries this year.