Given:
Dimensions of the rectangular table are 40 inches by 25 inches.
To find:
The length of the diagonal of the table.
Solution:
Diagonal of a rectangle is:
![d=√(l^2+w^2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/e2svgzzv5il3x7bei1hgmdpy16zz4njdvg.png)
Where, l is the length and w is the width of the rectangle.
Putting
in the above formula, we get
![d=√((40)^2+(25)^2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/dpze7j6314pgmyvamg4y3dkcwm4qyz6ncr.png)
![d=√(1600+625)](https://img.qammunity.org/2022/formulas/mathematics/high-school/xvh43ae4v7g85qv4tj8gtztblkdotablbv.png)
![d=√(2225)](https://img.qammunity.org/2022/formulas/mathematics/high-school/51vn97byr7yhmx1ki2r7uohum6j8ve4o4f.png)
![d\approx 47.17](https://img.qammunity.org/2022/formulas/mathematics/high-school/7hytiw4ppohp6ydouvbjl5ihatazrdrrxp.png)
Therefore, the length of the diagonal is about 47.17 inches.