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Tema [17]
2 years ago
15

Find the area of the figure below

Mathematics
1 answer:
sergiy2304 [10]2 years ago
6 0

Answer:

27

Step-by-step explanation:

break shape into two parts

rectangle - 4*3=12

triangle 6*5/2 = 15

add rect and triangle tgt - 12+15=27

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Whats the answer & how do I solve it ?
Veseljchak [2.6K]

Answer:

Area of rectangle = 225/2 or 112.5

Step-by-step explanation:

Given,

Consider a rectangle ABCD.

Let AC be a diagonal of rectangle of length   = 15

In triangle  ABC.

Sin 45° =height/hypotenuse   {SinФ = height / hypotenuse}

Here, hypotenuse = diagonal of rectangle ( i.e AC = 15)

And height is AB

Therefore, sin 45° = AB/AC

or sin 45° = AB / 15

or 1/√2 = AB /15

AB = 15/√2

Similarly we can find Base (i.e BC) using cosine.

Cos 45° = Base/Hypotenuse

Cos 45° = BC / AC

or  1/√2 = BC/15

BC = 15/√2

Hence we got length of rectangle , AB= 15/√2

And width of rectangle , BC = 15/√2

Therefore, area of rectangle = Length × Width

Area of rectangle = 15/√2  ×   15/√2  = 225/2

Hence, area of rectangle = 225/2 = 112.5

6 0
3 years ago
A farmer has 64 feet of fence to enclose a rectangular vegetable garden. which dimensions would result in the biggest area for t
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The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
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dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
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thus the dimensions that will result in maximum are is length=16 inches and width=16 inches

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