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Australian AMC 2023 - Middle Primary Question 30

AMC AUSTRALIA · Australian AMC 2023 - Middle Primary

Question 30

Yifan has a construction set consisting of red, blue and yellow rods. All rods of the same colour are the same length, but differently coloured rods are different lengths. She wants to make quadrilaterals using these rods.
- With two red, one blue and one yellow rod, the perimeter is 36 cm.
- With two blue, one red and one yellow rod, the perimeter is 35 cm.
- With two yellow, one blue and one red rod, the perimeter is 33 cm.
What number do you get when you multiply the lengths of one red rod, one blue rod and one yellow rod?