Tina has a square piece of paper RSTU of side 56 cm. She cut along the dotted lines shown in Figure 1 to get one small square of area 64 cm
2 and 8 identical right-angled triangles. Triangle VWX in Figure 2 is one such triangle. Find the length of VX.
Area of the square piece of paper
= 56 x 56
= 3136 cm
2 Area of 8 triangles
= 3136 - 64
= 3072 cm
2Area of 4 outer triangles
= 3072 ÷ 2
= 1536 cm
2 Area of the inner dotted-line square
= 3136 - 1536
= 1600 cm
2 Length of inner dotted-line square
= √1600
= 40 cm
Length of VX = 40 cm
Answer(s): 40 cm