The length of rectangle is 31 yards and width is 24 yards.
Step-by-step explanation:
Given,
Width of rectangle = w
Length of rectangle = w+7
Area of rectangle = 744 square yards
Area = Length * width
Factorizing the equation
Either,
w+31=0, =>w= -31
Or,
w-24=0 =>w=24
As width cannot be negative, therefore,
Width = 24 yards
Length = w+7 = 24+7 = 31 yards
The length of rectangle is 31 yards and width is 24 yards.
Keywords: area, rectangle
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Answer:
<em>The speed of the plane in still air is 590 mph</em>
<em>The speed of the wind is 20 mph</em>
Step-by-step explanation:
Let's call:
x = Speed of the plane in still air
y = Speed of the wind
The plane traveled d=4575 miles with the wind in t=7.5 h. The speed calculated with this data corresponds to the sum of the speed of the plane and the speed of the wind, thus:
x + y = 610 [1]
The plane traveled 4275 miles in 7.5 hours against the wind, thus the speed calculated is x - y:
x - y = 570 [2]
Adding [1] and [2]:
2x = 610 + 570 = 1180
x = 1180 / 2 = 590
From [1]:
y = 610 - 590 = 20
The speed of the plane in still air is 590 mph
The speed of the wind is 20 mph