Since SSS guarantees that two triangles are congruent, one might think that SSSS guarantees that two quadrilaterals are congruen
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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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Answer:
The inequality for is:
Step-by-step explanation:
Given:
Width of rectangle = 3 ft
Height or length of rectangle = ft
Perimeter is at least 300 ft
To write an inequality for .
Solution:
Perimeter of a rectangle is given as:
⇒
where represents length of the rectangle and
represents the width of the rectangle.
Plugging in the given values in the formula, the perimeter can be given as:
⇒
Using distribution:
⇒
Simplifying.
⇒
The perimeter is at lest 300 ft. So, the inequality can be given as:
⇒
Solving for
Subtracting both sides by 16.
⇒
⇒
Dividing both sides by 2.
⇒
⇒ (Answer)