Question

Select the correct answer.A basket weaver is making a square basket. A sketch of the top shows the its diagonal will measure 6 inches. What is the perimeter of the top ofthe basket to the nearest inch?

Answer 1

Explanation

Since the diagonal of the top of the basket is 6, we can let the sides of the top of tthe basket be x.

Therefore, using pythagoras theorem, we will have;

$\begin{gathered} x^2+x^2=6^2 \\ 2x^2=36 \\ x^2=\frac{36}{2} \\ x^2=18 \\ x^=\sqrt{18} \end{gathered}$

Therefore, the perimter of the top of the basekt is given as

$p=4x=4\times\sqrt{18}\approx17inches$

Answer: 17 inches