Question

Two squares are similar. Given: Square HIJK has a perimeter of 30 units and Square UVWT has a perimeter of 18 units. What is the ratio of the areas of Square HIJK to Square UVWT? 3:5 25:9 9:25 5: 3

Answer 1

If square HIJK has a perimeter of 30 units, it means that each side measures 7.5 units.

`l=(30)/(4)=7.5`

For the square UVWT, each side would be 4.5 units long.

`l=(18)/(4)=4.5`

Then, we divide these magnitudes.

`(7.5)/(4.5)=((15)/(2))/((9)/(2))=(15\cdot2)/(9\cdot2)=(5)/(3)`

Therefore, the answer is 5:3.