Answer:
85 feet
Step-by-step explanation:
P=2L+2W where L is the length and W is the width. If the length is 50 feet longer than the width, we can write the expression L=50+W. Substituting into P=2L+2W we get P=2(50+W)+2W=100+2W+2W=100+4W. Since P=300, we can say 300=100+4W. Subtracting 100 from each side we get 200=4W. Dividing each side by 4 gives 50=W. Substituting this into L=50+W gives L=50+35=85. The length is 85 feet.
Answer:
22%
Step-by-step explanation:
132%-110% is 22%
Since you already know BC is 23inches, you can minus it from 83 inches first.
Next, you have to realise that since angle ABC and angle ACB are both 65 degrees and equal, the triangle is an isosceles triangle it means that AC is equals to BC.
Thus, it means that you can divide (83-23) by 2, which is 30 inches
Answer: 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
