A rectangle has is 70 cm long and w cm wide. The perimeter of the rectangle is 182 cm. What is the width, w?

Mathematics

1 answer:

joja [24]2 years ago

5 0

Answer:

w = 21

Step-by-step explanation:

i've done this kind of thing before a million times

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Step-by-step explanation:

Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

$Dimensions of Rectangle 1 - Height ; 5 mi, Length ; 7 mi,\\Area of Rectangle 1 - Height * Length = 5 mi * 7 mi = 35 mi^2\\\\Dimensions of Rectangle 2 - Height ; 18 mi, Length ; 8 mi,\\Area of Rectangle 2 - Height * Length = 23 mi * 8 mi = 184 mi^2\\\\Dimensions of Mini Right Triangle - Height ; 11 mi, Base ; 8 + 5 = 13 mi,\\Area of Mini Right Triangle - 1 / 2 * Base * Height = 1 / 2 * 13 mi * 11 mi = 71.5 mi^2,\\\\Area of Figure = 35 mi^2 + 184 mi^2 + 71.5 mi^2 = 290.5 square miles$