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3 years ago

The length of a rectangle is three times the width. the parameter is 240 inches. find the length and width

Mathematics

1 answer:

Bezzdna [24]3 years ago

7 0

Answer:

L = 90 inches

W = 30 inches

Step-by-step explanation:

Give the length of a rectangle L is three times the width

That’s

L = 3w

And perimeter = 240 inches

Recall that the perimeter of a rectangle is given by

P = 2(L + W)

L = 3w

We now have two equations

Now substitute 3w for L in The above formula and 240 for P.

We have

240 = 2(3w + w)

Distribute 2 into (3w + w)

240 = 2 x 3w + 2 x w

240 = 6w + 2w

240 = 8w

Divide both sides by 8

240/8 = 8w/8

30 = w

W = 30inches

Now substitute 30 for w into either of the above equations to get L .

Using

L = 3w

L = 3 x 30

L = 90 inches

L = 90 inches and

W = 30 inches

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Answer:

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Step-by-step explanation:

The two triangles in the diagram are:

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First we have to find the third side (hypotenuse) of BDC so that we can use it to find the value of x.

Hypotenuse is the largest side of a triangle which is usually in front of the right angle.

So in BDC

$Base = BD =10cm\\Hypotenuse = BC = ?\\Perpendicular = CD = 2\sqrt{11}cm$

Applying Pythagoras theorem:

$(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\\BC^2 = BD^2 + CD^2\\BC^2 = (10)^2 + (2\sqrt{11})^2\\BC^2 = 100+(2^2 * 11)\\BC^2 = 100+(4*11)\\BC^2 = 100+44\\BC^2 = 144\\\sqrt{BC^2} = \sqrt{144}\\BC = 12cm$

Solving for triangle ABC

$Base = BC = 12 cm\\Perpendicular = AB = 9 cm\\Hypotenuse = AC = x\\$

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2 years ago

The length of a rectangle is three times the width. the parameter is 240 inches. find the length and width​

The length of a rectangle is three times the width. the parameter is 240 inches. find the length and width