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Strawberries and Peas

Stage: 3 Short Challenge Level: Challenge Level:1
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.