Question

a father wants to build an octagonal (that is, 8-sided) play pen for his toddler. each side of the octagon has a length of 3sqrt{50} inches. what is the perimeter of the octagon? *recall that the perimeter is the sum of each side of a shape boundary a. 3sqrt{400} inches b. 24sqrt{2} inches c. 120sqrt{2} inches d. 23sqrt{400} inches

Answer 1

perimeter = $8(3 \sqrt{50} )=24 \sqrt{25 \times 2} =24 \times \sqrt{25} \times \sqrt{2} =24 \times 5 \sqrt{2} =120 \sqrt{2}$