1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythegorean theorem, as shown in the picture, the height is

2. if a a=25 ft, then the height is

(ft)
3. consider picture 2. Let the length of the roof be l feet.
one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l
the lateral Area of the roof is 3a*l
the area of the equilateral surfaces is

so the total area of the roof is

4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.
So the total area found previously will be decreased by al
5. so the area now is

6. now a=25 and l=2a=50
Area=

=3041.3 (ft squared)
The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
Let x represent the length and y represent the width. Hence:
x + 2y = 50
x = 50 - 2y
Also:
xy = 288
(50 - 2y)y = 288
y = 9; and y = 16
x = 32; and x = 18
The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.
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d = days rented for
m = miles driven for
so the cost of the car is 35 bucks a day and 45 cents or $0.45 per mile driven, let's check it out for say a few days
1st day, 3 miles......................35(1) + 0.45(3)
2nd day, 2 miles..................35(2) + 0.45(2)
3rd day, say 5 miles............35(3) + 0.45(5)
dth day, and m miles..........35d + 0.45m
so the cost function could be written as C = 35d+0.45m.
now, we know for 2 days, d = 2, it cost 166.75 bucks, so

Answer: 20+44=64
32+56=88
88+64=$152
Step-by-step explanation: