Plz help with this word problem

Mathematics

1 answer:

Fofino [41]3 years ago

7 0

Yeah, these are tough.

When the plane is flying in the same direction as the wind,
the wind helps it cover ground faster.

Plane + Wind = 460 mph

When the plane is flying opposite to the wind, the wind makes it
cover ground slower.

Plane - Wind = 400 mph

================================

OK. So far we have

Plane + Wind = 460 mph
Plane - Wind = 400 mph

Add the two equations, and you get

2 Plane + zero = 860 mph

Divide each side by 2: Plane = 430 mph

Plug that into the first equation: 430mph + Wind = 460 mph

Subtract 430 mph from each side: Wind = 30 mph

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worty [1.4K]

ANSWER

The length of the rectangular field is 99 yards

EXPLANATION

Given information

The perimeter of a rectangle field is 372 yards

The width of the field is 87 yards

To find the length of the rectangular field, follow the steps below

Step 1: Write the formula for finding the perimeter of a rectangular field

$\begin{gathered} \text{ The perimeter of a rectangular field = 2\lparen l + w\rparen} \\ \text{ where l =length, and w = width} \end{gathered}$

Step 2: Substitute the given data into the formula in step 1

$\begin{gathered} \text{ Perimeter = 2 \lparen l + w\rparen} \\ \text{ Perimeter = 372 yards} \\ \text{ width = 87 yards} \\ \text{ 372 = 2\lparen l + 87\rparen} \\ \text{ Divide both sides by 2} \\ \text{ }\frac{372}{2}\text{ = }\frac{2}{2}(l\text{ + 87\rparen} \\ 186\text{ = l + 87} \\ \text{ subtract 87 from each sides of the equation} \\ \text{ 186 - 87 = l + 87 - 87} \\ \text{ 99 = l} \\ l\text{ = 99 yards} \end{gathered}$

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