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?6 inA48 inB. 24 inC. 20 inD. 34 in

Answer 1

Given

Diagonal of the square = 6 inch

Find

Perimeter of the square

Explanation

Let the side of the square =s

We the that all sides of the square makes an angle of 90 degree

So it makes a right angled triangle with the diagonal

So using Pythogoras theorem

$\begin{gathered} 6^2=s^2+s^2 \\ 36=2s^2 \\ s=\sqrt{18} \\ s=3\sqrt{2} \end{gathered}$

so , perimeter = 4s + 6

$\begin{gathered} 4s+6 \\ 4(3\sqrt{2})+6 \\ 12\sqrt{2}+6 \\ 22.970 \end{gathered}$

Final Answer

therefore , the perimeter will be 24 inch