Question

Q.01 Four identical pieces of wood of length 50 cm x 8 cm x 2 cm are arranged as shown in the figure. Another larger square is generated by rotating all the wooden panels along the outer edges and extending the outermost edges till they touch each other. What is the area of this larger square thus constructed ?​

Answer 1

Given: 4 wooden pieces of dimensions 50 cm x 8 cm x 2 cm. They are arranged in the form of a square having side 50 cm.

To find: area of the square constructed when panels are rotated.

Step-by-step explanation:

Step 1 of 2

The square constructed when the panels are attached through side 50 cm is:

$Area=side^{2} \\\\Area=50^{2} \\\\Area=2500cm^{2}$

Step 2 of 2

When panels are rotated and edges are extended, the length of the side will become 50+8+8+2+2=70cm

Now the area will be

$Area=side^{2} \\\\Area=70^{2} \\\\Area=4900cm^{2}$