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padilas [110]
3 years ago
14

A rectangles length is three more than twice the width. The perimeter of the rectangle is 72 units. Write a let statement that c

an be used to find the length and width of the rectangle. Write an equation that can be used to find the length and width of the rectangle. Solve the equation. What is the length of the rectangle? What is the width of the rectangle?
Mathematics
1 answer:
photoshop1234 [79]3 years ago
3 0

Answer:

The length is 25 units and the width is 11 units

Step-by-step explanation:

Let the length of the rectangle be l.

Let the width of the rectangle be w.

We are given that the length of the rectangle is three times more than twice its width. This means that:

l = 3 + 2w

The perimeter of a triangle is given as:

P = 2(l + w)

This implies that:

P = 2[(3 + 2w) + w]

P = 2(3 + 3w)

We can use this to find the width of the rectangle and then the length.

The perimeter of the rectangle is 72 units.

Therefore:

72 = 2(3 + 3w)

72 = 6 + 6w

=> 6w = 72 - 6 = 66

w = 66 / 6 = 11 units

The length, l, is therefore:

l = 3 + 2(11) = 3 + 22 = 25 units

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Answer:

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Find the missing angle: e.
sattari [20]

Answer: e = 33

Keep referring to the picture to understand which part of the figure I am talking about.

Step-by-step explanation:

So starting from the top triangle, one of the angles are 34 and the triangle looks like an Isosceles (a triangle that has 2 equal angles and sides). So to find the other 2 angles you have to take away the already given angle from 180 (as all angles in a triangle add up to 180 degrees) and divide it by 2. So- 180 - 34 = 146.

146 ÷ 2 = 73- angle of each of the remaining 2 sides.

The left side of that triangle is extended to be part of the quadrilateral (the four sided figure with angle e). So to now solve the top left angle of the quadrilateral which is connected to the triangle you have to takeaway the angle which is part of the triangle from 180 (Angles on a line add to 180) So-

180 - 73 = 107 - angle for the top left part of the quadrilateral.

To find the 3rd angle on the bottom right, you need to solve the angles of the bottom triangle connected to it. Use the same method I have shown for the top triangle as the triangle look like an Isosceles like the other one -

180 - 30 = 150

150 ÷ 2 = 75- angle of each of the remaining 2 sides

Coming back to finding the 3rd angle, you have to use the line at the bottom where you found one of angles now. Use the same angles on the same line rule used before-

180 - 75 = 105- angle for the bottom right of the quadrilateral

You now have all the angles in the quadrilateral except for e which you will find by adding up all the known angles in the quadrilateral and take it away from 360 (all angles in a quadrilateral add to 360) So-

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Therefore e = 33

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Answer:

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