Answer:
A = (100 - y)y
Maximum area = 2500 sq. feet.
Step-by-step explanation:
Let the length of the combined rectangular area is y feet and the shared width is x feet.
So, perimeter of the two rectangle together is (3x + 2y) = 200 {Given}
⇒ 2y = 200 - 3x
⇒ ...... (1).
a) Now, area of the total plot in sq. feet is ........ (2)
So, this is the expression for area A in terms of length of shared side x.
b) For area to be maximum the condition is
Now, differentiating equation (2) on both sides with respect to x we get
⇒ x = 33.33 feet.
So, from equation (1) we get
⇒ x = 50 feet.
So, the value of maximum area = 50 × 33.33 = 1666.5 sq. feet. (Answer)
Answer:
157+364= 521 square mm
Step-by-step explanation:
Area of 1/2 circle = 1/2 pi r-squared = 1/2x10x10x3.14 = 157 square mm
Area of trapezoid = (a+b)/2xh = (20+32)/2 x 14 = 364 square mm
157+364= 521 square mm
See the attached picture:
X = 9