Question

question 4 points 2
the dimensions of a rectangular plot are 10 m by 8 m, respectively.
find the length of the diagonal.

○ 8 m

○ 10 m

○ 12.8 m

○ 24 m

Explanation:

Step1: Recall Pythagorean theorem

In a rectangle, the diagonal forms a right triangle with length and width. So, if \( l = 10 \, \text{m} \), \( w = 8 \, \text{m} \), and diagonal \( d \), then \( d=\sqrt{l^{2}+w^{2}} \).

Step2: Substitute values

Substitute \( l = 10 \) and \( w = 8 \) into the formula: \( d=\sqrt{10^{2}+8^{2}}=\sqrt{100 + 64}=\sqrt{164}\approx12.8 \, \text{m} \).

Answer:

12.8 m (the option with "12.8 m")