Question

Given that the aspect ratio of a given rectangle is 4:3, find length and width of the rectangle if the diagonal is 2500

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Answer 1

D) length = 2000, width = 1500

Explanation:

Using Pythagoras' Theorem
`a^2+b^2=c^2`, where a and b are the legs and is the hypotenuse of a right triangle.

Length =
`4x`

Width =
`3x`

Therefore,

`(4x)^2+(3x)^2=2500^2\\\\\implies 16x^2+9x^2=6250000\\\\\implies 25x^2=6250000\\\\\implies x^2=250000\\\\\implies x=500`

Therefore,

length =
`4x=4 * 500=2000`

width =
`3x=3 * 500 = 1500`