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igor_vitrenko [27]
3 years ago
12

Use the rewritten formula to find the width of a rectangle with an area of 42 square inches and a length of 16.8 inches.

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
7 0

Answer:

The width of the rectangle is, 2.5 inches

Step-by-step explanation:

Given:  The length of a rectangle is 16.8 inches ,  with an area of 42 square inches.

Since Area is 2- dimensional, it has length and width.

Area of Rectangle in square unit is given by multiplying the length by width.

The formula is given by:

Area of rectangle(A) = length( l) \times width(w)      ......[1]

Substitute the value of Area (A) = 42 square inches and length (l) = 16.8 inches in equation [1], to solve for width(w).

42 = 16.8 \times w

or

w = \frac{42}{16.8} = 2.5 inches.

Therefore, the width of rectangle is, 2.5 inches.





Leviafan [203]3 years ago
4 0
Length * Width = Area

Width = Area / Length

W = 42 / 16.8

W = 2.5 inches
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At a certain time of the day, a tree that is x meters tall casts a shadow that is x-49 meters long. If the distance from the top
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The height of the tree is 60 meters.

Explanation:

Let the height of the tree be x. The tree casts a shadow of x-49 meters and the distance from the top of the tree to the end of the shadow is x+1 meters.

The sides of the triangle are attached in the image below:

Using pythagoras theorem,

x^{2}+(x-49)^{2}=(x+1)^{2}

Expanding, we get,

2 x^{2}-98 x+2401=x^{2}+2 x+1

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x=\frac{-(-100)\pm\sqrt{(-100)^{2}-4 \cdot 1 \cdot 2400}}{2 \cdot 1}

Simplifying, we have,

x=\frac{100\pm\sqrt{10000-9600}}{2}

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Hence, the value of x is 60.

Thus, The height of the tree is 60 meters.

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