Find the length of the diagonal of the rectangle. Round your answer to the nearest tenth.

|--------------------|
| | 8 m
| |
|------------------- |
11 m

Respuesta :

Answer:

Length  of diagonal is 13.6 m

Step-by-step explanation:

Formula for length of diagonal of rectangle is given by

[tex]\sqrt{l^{2} +w^{2} }[/tex]

 where l is length and w is width

for this question length (l) = 11 m  and width (w) = 8 m

so length of diagonal = [tex]\sqrt{11^{2} +8^{2} }[/tex]

                                    =[tex]\sqrt{121+64 }[/tex]

                                   =[tex]\sqrt{ 185 }[/tex]

                                   =13.6 m

asra44
If you cut the rectangle in half it forms 2 right angled triangles
You can find the diagonal by doing Pythagoras:
11^2+8^2=185
Square root of 185 is 13.6014...m
14m or 13.6 is your answer
Hope this helps