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luda_lava [24]
3 years ago
12

The length of a rectangle is 5 inches less than 3 times the width. The perimeter is 70 inches. Find the length and the width.

Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0

Answer:

Length of the Rectangle = 10 inches

and  Width = 25 inches

Step-by-step explanation:

Let the width of the rectangle  = k inches

So, the Length of the rectangle = (3k - 5) inches

Perimeter = 70 inches

Now, Perimeter of the Rectangle = 2(Length + Width)

= 2 (k + (3k-5))

⇒  2 (k + (3k-5))   = 70

or, 2(k + 3k -5) = 70   ⇒    2(4k - 5)  = 70

⇒ 8k - 10 = 70

or, 8k = 70+ 10 = 80

or, k = 80/8 = 10

So, the Length = 10 inches

Hence, Width = 3k - 5 = 3(10) - 5 = 30 - 5 = 25 inches

So, Length of the Rectangle = 10 inches

                            and  Width = 25 inches

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Step-by-step explanation:

Here we are supposed to find the distance between two coordinates ( 4,10) and (-3,-14).

Let us do this step by step with detailed explanation.

We will use distance formula in order to find the distance between them. The distance formula is given as

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D=\sqrt{(-3-4)^{2} +(-14-10)^{2} }\\D=\sqrt{(-7)^{2} +(-24)^{2} }\\D=\sqrt{49+ 576 }\\D=\sqrt{625 }\\D=25\\

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Hope this helped

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Step-by-step explanation:

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