Add: (3x^2 - 2x^2 - 6x) + (3x^2 - 5x + 3)
1 answer:
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For the largest area, half the fence is used parallel to the river, and the other half is used for the two ends of the rectangular space.
The dimensions are 475 m by 237.5 m.
_____
Let x represent the length along the river. Then the area (A) is found as
.. A = x*(950 -x)/2
This equation describes a parabola with its vertex (maximum) halfway between the zeros of x=0 and x=950. That is, the maximum area is achieved when half the fence is used parallel to the river.
The dimensions are 475 m by 237.5 m.
_____
Let x represent the length along the river. Then the area (A) is found as
.. A = x*(950 -x)/2
This equation describes a parabola with its vertex (maximum) halfway between the zeros of x=0 and x=950. That is, the maximum area is achieved when half the fence is used parallel to the river.
Answer:
Blue Rectangle: <u>135 mm²</u>
Blue Triangle: <u>45 mm²</u>
<em>Not sure if you need this but the </em>Total Square: <u>225 mm²</u>
Step-by-step explanation:
Area of a rectangle: <u>length x width</u>
Area of a triangle: <u> x base x height</u>
First find the area of the blue rectangle.
Length = 15 mm
Width = 9 mm
Area = 135 mm²
Now find the area of the blue triangle:
Base = 6 mm (because the bottom is 15 total and you subtract the 9)
Height = 15 mm
Area = 45 mm²
Hope it helps!