Question

What is the length of the diagonal of a rectangle whose width is 90 cm and whose length is 200 cm? (Round your answer to the nearest whole centimeter.)

a. 217 cm

b. 214 cm

c. 222 cm

d. 219 cm

Answer 1

d. 219 cm

Explanation:

If you draw in that diagonal, what you have is two right triangles with the diagonal being the hypotenuse of both. This hypotenuse can be found using Pythagorean's Theorem. Filling in with our info:

`c^2=90^2+200^2` and

`c^2=48100`. Taking the square root of both sides gives you

c = 219.3 or just 219 cm