### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### Calendar Capers

Choose any three by three square of dates on a calendar page...

### Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

# Strawberries and Peas

##### Stage: 3 Short Challenge Level:
See all short problems arranged by curriculum topic in the short problems collection

Yasmin has beds for peas and strawberries in her garden, as shown in the diagram on the right.

This year, Yasmin moved the boundary. She decided to change the rectangular pea bed into a square, by lengthening one of its sides by $3\text{m}$. As a result of this, the area of the strawberry patch was reduced by $15\text{m}^2$.

What was the original area of the pea bed, before the change in the boundary?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.