In a diagram, the area of the large square is 1 square unit. two diagonal segments divide the square into four equal-sized trian
gles. Two of these triangles are divided into smaller red and blue triangles that all have the same height and base length. Find the area of the red triangle.
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Answer:
Step-by-step explanation:
The formula for calculate the Area of a rectangle is:
Where "l" is the lenght and "w" is the width.
And the formula for calculate the peimeter of a rectangle is:
Where "l" is the lenght and "w" is the width.
We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:
<u>The steps are:</u>
1. Solve for the "l" from the formula :
2. Substitute into the formula
and solve for "w":
Applying the Quadratic formula , we get:
3. Substitute into
:
4. Substitute into
:
Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are: