The length of the diagonal of the rectangle is 14.9 units.
What is a diagonal?
A diagonal is the longest line that divides a plane shape into two halves.
To calculate the diagonal of the rectangle, we use Pythagoras theorem.
Formula:
- A = lw.............. Equation 1
Where:
- A = Area of the rectangle
- l = Length of the rectangle
- w = width of the rectangle.
make w the subject of the equation
- w = A/l.............. Equation 2
From the question,
Given:
- A = 110 square units
- l = 11 units
Substitute these values into equation 2
Finally, to calculate the diagonal of the rectangle, we use the formula below
- d² = l²+w²............. Equation 3
Given:
- w = 10 units
- l = 11 units.
Substitute these values into equation 3
- d² = 10²+11²
- d² = 100+121
- d² = 221
- d = √221
- d = 14.9 units.
Hence, the length of the diagonal of the rectangle is 14.9 units.
Learn more about diagonal here: https://brainly.com/question/654982
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