Question

Find the area of a rectangular garden box if the length is square root of 6ft. and the width is square root of 21 ft. Write the answer in simplest radical form.
2. There is a threshold on a person's weight that tells doctors when a person is at a greater risk of death. In men, ages 40 - 49, that threshold weight is represented by h=12.3 squared 3 square root of T, where h is height in inches and T is the threshold weight. If a doctor told a 43 year old man that his threshold weight was 218 lbs what would that man's height be (in the form of feet -inches: Ex: 5 ft 9 in)?

Answer 1

1. A = LW

$A = \sqrt{6} \sqrt{21}$

$A = \sqrt{6 \times 21} \\A = \sqrt{2 \times 3 \times 3 \times 7} \\A = \sqrt{3^2 \times 14} A = 3\sqrt{14} ~ft^2$