Question

The dimensions of a rectangular garden were 5 m by 12 m. Each dimension was increased by the same amount. The garden then had an area of 120 m2. Find the dimensions of the new garden.

Answer 1

if dimensions were 5 and 12, that means ratio was 5:12. if we increase wach dimension by the same amount, the ratio is the same.

so:

5x×12x=120

60x²=120

x²=120÷60

x²=2

x=√2

that means each dimension was increased by √2

so dimensions are: 5√2 and 12√2