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Pinion
22.07.2019 •
Mathematics
Arectangular painting has a diagonal measure of 20 inches and an area of 192 square inches. use the formula for the area of a rectangle and the pythagorean theorem to find the length and width of the painting.
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Ответ:
Area=length*width
let the length be l
the width width will be:
w=192/w
but Pythagorean theorem is given by:
c^2=a^2+b^2
thus plugging in the values we get:
20²=w²+(192/w)^2
400=w²+36864/w²
solving the above we get:
w=-16, w=-12, w=12, w=16
thus the dimensions are 12 inches by 16 inches
Ответ: