SOLUTION: this shape is made of square and rectangle. rectangle has same width as the square but it is twice as long. area of the shape is 75cm2. what is the perimeter? _________ . .

Algebra ->  Rectangles -> SOLUTION: this shape is made of square and rectangle. rectangle has same width as the square but it is twice as long. area of the shape is 75cm2. what is the perimeter? _________ . .       Log On


   



Question 1139795: this shape is made of square and rectangle. rectangle has same width as the square but it is twice as long. area of the shape is 75cm2. what is the perimeter?

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note: the image is approximate only.
thank you

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

his shape is made of square and rectangle.
rectangle has same width as the square but it is twice as long
let dimensions of the square be a
let dimensions of the rectangle be a and b
given that b=2a
area of the shape: area of the square plus area of the rectangle
A=a%5E2%2Ba%2A2a
A=a%5E2%2B2a%5E2
A=3a%5E2
given: A=75cm%5E2
find dimensions:
3a%5E2=75cm%5E2
a%5E2=75cm%5E2%2F3
a%5E2=25cm%5E2
a=sqrt%2825cm%5E2%29
a=5cm
=>b=10cm
the perimeter of the shape is: perimeter of the square plus perimeter of the rectangle
P=4a%2B2%28a%2Bb%29
P=4%2A5cm%2B2%285cm%2B10cm%29
P=20cm%2B30cm
P=50cm