Question

The pentagons JKLMN and PQRST are similar. Find the length x of RS

Answer 1

The value of x = 4.8

How to get x

we have to use the figures to calculate the value of x

4 / 6.4 = 0.625

1 / 1.6 = 0.625

2 / 3.2 = 0.625

Based on these ratios we have

3 / x = 0.625

from here we have to cross multiply

3 = 0.625x

x = 3 / 0.625

x = 4.8

Answer 2

RS = 4.8

Step-by-step explanation:

The pentagon PQRST is obtained by scaling JKLMN by a factor of 1.6.

The scale factor is found by taking the ratio of the similar sides.

scale factor = PQ/JK = 1.6/1 = QR/KL = 3.2/2 = 1.6

Therefore, the ratio of RS to LM must also be 1.6

`(RS)/(LM)=(RS)/(3)=1.6`

Thus we have

`(RS)/(3)=1.6`

multiplying both sides by 3 gives

`RS=1.6*3`
`RS=4.8`

which is our answer!