A playground is shaped like a rectangle with a width 5 times its length (L). What is a simplified expression for the distance between opposite corners of the playground?
A.) L square root 26
B.) 5L
C.) 26L^2
D.) 6L
Thanks
1 B
2 C
3 C
4 D
5 A
6 B
7 B
8 A
b
c
c
d
a
b
b
a
b
d
KJ WDW5SOS is 100% correct as of right now. Just did the test. Thanks KJ WDW5SOS! =D
Those are still correct for Lesson 3: Operations with Radical Expressions ALG 1B Unit 6: Radical Expressions and Equations
@connexus kid is correct!
C is not correct.
conexus kid's answers were right for me
both are right on diffrent lessons.
To find the distance between opposite corners of the playground, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we can consider one side of the rectangle as the length (L) and the other side as the width (5L).
Let's label the diagonal as D. According to the Pythagorean theorem, we have:
D^2 = L^2 + (5L)^2
Simplifying this equation, we get:
D^2 = L^2 + 25L^2
D^2 = 26L^2
We want to find the distance, which is represented by D. Taking the square root of both sides of the equation, we get:
D = √(26L^2)
Simplifying further, we have:
D = L√26
Therefore, the simplified expression for the distance between opposite corners of the playground is option A.) L square root 26.
W= 5L
So the side lengths are 5L and L.
by definition of a right triangle (5L)^2 + (L)^2= ?
25L^2 + L^2= 26L^2
This matches choice C.