The diagonal of a rectangle is 13 units. One side of the rectangle is 12”. Find the length of the shortest side of the rectangle
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The acceleration of the particle is given by the formula mentioned below:
Differentiate the position vector with respect to t.
Differentiate both sides of the obtained equation with respect to t.
Substitute t=2 in the above equation to obtain the acceleration of the particle at 2 seconds.
The initial position is obtained at t=0. Substitute t=0 in the given position function.
The dimensions of the rectangle are length 156 m and a width of 65m, and a perimeter P = 442m
<h3>How to find the dimensions of the rectangle?</h3>For a rectangle of length L and width W, the diagonal is:
Here we know that the diagonal is 169m.
And the ratio of the length to the width is 12:5
This means that:
W = (5/12)*L
Replacing all that in the diagonal equation:
So the length is 156 meters, and the width is:
W = (5/12)*156 m = 65m
Finally, the perimeter is:
P = 2*(L + W) = 2*(156 m + 65m) = 442m
If you want to learn more about rectangles:
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