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

Answer 1

Answer:

D) length = 2000, width = 1500

Step-by-step 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 = $4x=4 \times 500=2000$

width = $3x=3 \times 500 = 1500$