Answer:
<h2>√512 by √512 </h2>
Step-by-step explanation:
Length the length and breadth of the rectangle be x and y.
Area of the rectangle A = Length * breadth
Perimeter P = 2(Length + Breadth)
A = xy and P = 2(x+y)
If the area of the rectangle is 512m², then 512 = xy
x = 512/y
Substituting x = 512/y into the formula for calculating the perimeter;
P = 2(512/y + y)
P = 1024/y + 2y
To get the value of y, we will set dP/dy to zero and solve.
dP/dy = -1024y⁻² + 2
-1024y⁻² + 2 = 0
-1024y⁻² = -2
512y⁻² = 1
y⁻² = 1/512
1/y² = 1/512
y² = 512
y = √512 m
On testing for minimum, we must know that the perimeter is at the minimum when y = √512
From xy = 512
x(√512) = 512
x = 512/√512
On rationalizing, x = 512/√512 * √512 /√512
x = 512√512 /512
x = √512 m
Hence, the dimensions of a rectangle is √512 m by √512 m
<span>3 1/8 x 1 2/7
= 25/8 x 9/7
= 225 / 56
</span>
Answer:
38449
Step-by-step explanation:
29,035 + 3,028 + 4,562 + 2,846 = 39471
29471 - 1022 = 38449
Answer:
D
Step-by-step explanation:
Given that AB and CD are parallel lines, then
∠c and ∠e are same side interior angles and are supplementary
Answer:
-10x + 35 + 5x simplifies to -5x + 35.
Step-by-step explanation:
Combine Like Terms:
= −10x + 35 + 5x
= (−10x + 5x) + (35)
= −5x + 35
Hope this helps!
