a rectangle has a width of 9 units and a length of 40 units. what is the length of a diagonal?\n31 units\n39…
a rectangle has a width of 9 units and a length of 40 units. what is the length of a diagonal?\n31 units\n39 units\n41 units\n49 units
Answer
Explanation:
Step1: Apply Pythagorean theorem
In a rectangle, if the length is $l = 40$, the width is $w=9$, and the diagonal is $d$. According to the Pythagorean theorem $d^{2}=l^{2}+w^{2}$.
Step2: Substitute values
Substitute $l = 40$ and $w = 9$ into the formula: $d^{2}=40^{2}+9^{2}=1600 + 81=1681$.
Step3: Find the diagonal length
Take the square - root of 1681, $d=\sqrt{1681}=41$.
Answer:
C. 41 units