Answer: b. 14ft
Step-by-step explanation:
In the rectangle, the opposite sides are equal. The diagonal divides the rectangle into two equal right angle triangles. The diagonal represents the hypotenuse of both right angle triangles. The length and width represents the opposite and adjacent sides of the right angle triangles.
To determine the length, L of the rectangle, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
16² = L² + 7²
256 = L² + 49
L² = 256 - 49 = 207
L = √207
L = 14.38
the closest to the length of this rectangle in feet is
14ft
Answer:
b 14 ft
Step-by-step explanation:
Width of the rectangle = 7 ft
Diagonal length of the rectangle = 16 ft
Let the length of the rectangle = l ft
Then,
[tex]\[l^{2}+7^{2}=16^{2}\][/tex]
[tex]\[=> l^{2}+49=256\][/tex]
[tex]\[=> l^{2}=207\][/tex]
[tex]\[=> l=sqrt{207}\][/tex]
[tex]\[=> l=14.39\][/tex]
This can be approximate by 14 ft
Among the given options, option B is the correct one.
