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Answer:
Step-by-step explanation:
-35v - 56
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We can find the area of each shape separately
The area of the triangle can be found by A = 1/2bh
So the area will be 1/2 times (6+14+6= 26) 26 times 21
The area of the triangle will be 273 ft^2
The area of the square will be A=lxh
So the area will be 14 times 14
So the area of the square will be 196 ft ^2
We then add the area of both shapes together to get the total area
273 + 196 = 469 ft^2
Area as a function of width, w is:
a(w)=(w-25)^2+625
for maximum area, the width will be:
a'(w)=2(w-25)+0=0
solving for w we egt
2w-50=0
2w=50
w=25 m
given that the perimeter is 100, the length will be:
100=2(L+W)
solving for L we get:
L=50-W
but W=25m
hence
L=50-25=25 m
thus the maximum area will be:
A=L*W=25*25=625m^2
