For maximum light to pass, area should be maximum.
AIM: Maximize area
Let the length of rectangle be L and breadth be B.
which makes each side of triangle be B.
P(Perimeter)= 2*L + 3*B = 16
L= (16-3B)/2
Area= B*L + (31/2B*B)/4 = 8B-(3B2/2)+(31/2B2/4)
dA/dB= 8-3B+(31/2B/2)
At maxima or minima dA/dB=0,
B= 16/(6-31/2)
We will see that d2A/dB 2 @ B= 16/(6-31/2) is smaller than zero which means
that it is a point of maxima.
Now find the value of L and put both of them in the Area equation.
I'm too tired to do so.
A rectangle has two dimensions - length and width. Only if both dimensions are doubled, then the perimeter will be doubled.
54
If the length of a rectangle is twice its width and it has a perimeter of 48, then the rectangle is 16 in length and 8 in width.
Since the largest area would be obtained by having adjacent sides equal to each other, and since a square is at least technically an equilateral rectangle, divide the perimeter of 72 by 4 to get sides of 18 and an area of 324.
The dimensions of the rectangle will then work out as 14 cm by 10 cm because the perimeter is 14+10+14+10 = 48 cm
what are the dimensions of the rectangle with this perimeter and an area of 8000 square meters
A rectangle has two dimensions - length and width. Only if both dimensions are doubled, then the perimeter will be doubled.
The dimensions of the rectangle are 2 units and 15 units
the perimeter of a rectangle is 700 yards. what are the dimensions of the rectangle if the lenght is 80 yards more than the width?
21 x 2 has greatest perimeter
That depends on the dimensions !... A 1 x 18 rectangle has a perimeter of 38 ! A 2 x 9 rectangle has a perimeter of 22 ! A 3 x 6 rectangle has a perimeter of 18 !
I hope you want to know the Perimeter. Perimeter is the total length of the boundary of the region bounded by a shape. For a rectangle it is the sum of the 4 bounding sides, or 2*(L+B), where L is Length of the rectangle and B is Breadth of the rectangle. For a Triangle it is the sum of the 3 sides. If you consider an equilateral triangle. By property the 3 sides of an equilateral triangle are equal. Hence the Perimeter of an equilateral triangle is denoted as; 3*a, where a is the length of one of the sides of the triangle. It is possible that the perimeter of a rectangle is same as that of many different types of triangles. We can formulate a relationship for a special case where the perimeter of a rectangle is equal to the perimeter of an equilateral triangle; P(R) = P(ET), P(R) is perimeter of rectangle and P(EQ) is perimeter of Equilateral triangle. P(R)=2(L*B) = P(EQ) = 3*a; hence, a = (2/3)*(L*B) = P(R)/3. i.e., the sides of the Equilateral triangle are one thirds of the perimeter of the rectangle.
me
What are the dimensions of a rectangle that has a perimeter of 56 units and an area of 96 square units
If they are the dimensions of a rectangle then the perimeter is: 2*(26+16) = 84
54
There is no limit to the size of the perimeter.