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Oxana [17]
3 years ago
9

The length of a rectangle is 5.4 cm more than 2 times the width. If the perimeter of the rectangle is 39.6 cm, what are its dime

nsions?
a. length = 4.8 cm; width = 15 cm
b. length = 15 cm; width = 4.8 cm
c. length = 15 cm; width = 10.2 cm
d. length = 4.2 cm; width = 10.2 cm
Mathematics
1 answer:
ale4655 [162]3 years ago
8 0

Answer:

Step-by-step explanation:

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Take into account the length of the right side of the figure is 10. Moreover, x is the hypotenuse of a right triangle. To find the value of x, use the sine function:

cos 45 = opposite side/hypotenuse

cos 45 = 10/x solve for x

x = 10/cos 45

x = 10/0.707

x = 14.14

with the previous value of x, you can find y. Again, consider the right triangle right side. x is the hypotenuse. Use the Pythagorean theorem to find y:

x² = 10² + y² solve for y and replace x

y² = x² - 10²

y² = (14.14)² - 100

y² = 200 - 100

y² = 100 apply square root both sides

y = 10

Hence, the values of x and y are 14.14 and 10 respectively

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