Answer:
0 and -1
Step-by-step explanation:
Answer:
The dimension of the rectangular closet before construction = (x + 5) ft by (x + 4) ft
Step-by-step explanation:
The homeowner has a rectangular closet and the area of the closet is (x² + 9x + 20) ft². The area of a rectangle is the length multiplied by the width. The length is given as (x + 5) ft. After construction the area change to (x² + 14x + 48) ft². The length became (x + 6) ft.
The dimensions before construction can be calculated as follows:
Mathematically,
area of rectangle = Length × width
area = (x² + 9x + 20) ft².
Length = (x + 5) ft
Width = unknown
area = LW
(x² + 9x + 20) = (x + 5) W
W = (x² + 9x + 20) / x + 5
W = (x + 4) ft
The dimension of the rectangular closet before construction = (x + 5) ft by (x + 4) ft
RO divides the rectangle into two congruent right triangles.
The area of the one triangle is equal half area of the rectangle.
Calculate the area of rectangle:
The area of right triangle:
Use the Pythagorean theorem to calculate the length of RO:
The formula of an area of this right triangle is:
Therefore we have the equation:
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