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)
Quadrilateral, Parallelogram, and a Rhombus
200
Let the total number of customers that day be "x"
30% of total customers bought a snack and that is 120.
So we can say:
30% of total (x) is 120
Note: 30% converted to decimal is 30/100 = 0.3
This can be translated to an algebraic equation as:
0.3x = 120
Now, we can solve for x, the total customers:
0.3x = 120
x = 120/0.3
x = 400
Since, 80% bought drink, we find 80% of 400:
80% = 80/100 = 0.8
0.8 * 400 = 320
The store sold 320 drinks and 120 snacks. So drinks outweigh snacks be:
320 - 120 = 200
So,
200 more drinks than snacks
The upper number is NUMERATOR and below one is DENOMINATOR