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Isrene
02.02.2020 •
Mathematics
The length of a rectangle is 3 feet less than twice the width. the area is 65 square feet. find the length and width
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Ответ:
a=lb
65= (x×2)-3×x
l=(x×2)-3
b=x
a=65
Now I tried plugging in random values. Eventually I came up with this ;
65= (6.5×2)-3×6.5
65= 13-3×6.5
65 = 10×6.5
65=65
Length = 10feet
Width = 6.5feet
Ответ:
The area is 268 cm squared (approximately)
Step-by-step explanation: The area of a parallelogram is given as ;
Area = b x h
Where b is the base and h is the vertical height. However the vertical height is not given, so we shall apply the trigonometric ratio to determine the vertical height. If we draw a straight line from the the top right vertex down to the base, we would have constructed a right angled triangle with hypotenuse 13cm, and reference angle 79 degrees. We can now calculate the vertical height as follows;
Sin 79 = opposite/hypotenuse
Sin 79 = h/13
By cross multiplication we now have
Sin 79 x 13 = h
0.9816 x 13 = h
12.76 = h
With the vertical height now known, we can calculate the area as follows
Area = b x h
Area = 21 x 12.76
Area = 267.96 cm squared