Pregunta
7he width and height of a rectangle are in a ratio of
.
a. Draw the rectangle, and divide its width and length into
parts according to its aspect ratio.
b. If the rectangle’s perimeter is 220 cm , find its width
and its height.
a. Draw the rectangle, and divide its width and length into
parts according to its aspect ratio.
b. If the rectangle’s perimeter is 220 cm , find its width
and its height.
Ask by Byrd Weaver. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The width of the rectangle is 90 cm and the height is 20 cm.
Solución

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Como
Bonus Knowledge
To create your rectangle, start by drawing a shape that embodies a 9:2 ratio. Imagine the rectangle as having 9 equally spaced sections along the top width and 2 sections along the height. This means if you visualize a rectangle split into those ratios, you’ll have a long, wider top with a shorter height, giving it that signature aspect ratio.
Now, for the rectangle’s dimensions given a perimeter of 220 cm, we can use the formula for perimeter:
. Let’s denote the width as
and the height as
. Plugging into the formula gives us
. Simplifying, we find
, leading to
. This means the width is
cm and the height is
cm. Ta-da! You’ve got a rectangle that’s 90 cm wide and 20 cm tall!

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