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irina1246 [14]
3 years ago
5

Todd wants to paint a design on the wood along the diagonal shown. If each tile is 15 centimeters on each side, what is the leng

th of the diagonal shown?

Mathematics
1 answer:
Illusion [34]3 years ago
3 0

Answer:

130 centimeters

Completed question;

Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below.

Todd wants to paint a design on the wood along the diagonal shown. If each tile is 13 centimeters on each side, what is the length of the diagonal shown?

A. 182 centimeters

B. 169 centimeters

C. 130 centimeters

D. 91 centimeters

Step-by-step explanation:

To determine the length of diagonal, we have to first find the length of each side;

According to the attached image;

The length consist of 8 tiles

And breadth consist of 6 tiles

Length per tile = 13 centimeters

Length = 8 × 13 = 104 centimeters

Breadth = 6×13 = 78 centimeters

Using Pythagoras theorem;

diagonal length d = √(104^2 + 78^2)

d = 130 centimeters

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