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# Geometry/Perimeters and Areas

Question
(1)what is the perimeter of a square field whose area is 14400cm^2
(2)the perimeter of a rectangle is 24cm. if one side is 4cm. find the area of the rectangle.
please sir, help me solve the question above!

Hi Johnny,

(1)  A square with side length x has area x² and perimeter 4x.  Using the given area, you can solve for x.

x²=14400
√(x²)=√14400
x=120

Now multiply by 4 to get the perimeter of the square.

(2)  A rectangle with side lengths x and y has perimeter p=2x+2y and area xy.  You are given the perimeter and one side length (say, y), so you can solve for the other.

2x+2y=p
2x+2(4)=24
x+4=12
x=8

Now you know the side lengths are 8 and 4, so you can multiply those to get the area of the rectangle.

Azeem

Geometry

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#### Azeem Hussain

##### Expertise

I welcome your questions on algebra, 2D and 3D geometry, parabolic functions and conic sections, and any other mathematical queries you may have.

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4 years as a drop-in and by-appointment tutor at Champlain College. Private tutor for dozens of clients over the past 8 years.

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CALPHAD: Computer Coupling of Phase Diagrams and Thermochemistry

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Bachelor of Science, Major Mathematics and Major Economics, McGill University, 2014. Diploma of Collegiate Studies; Pure and Applied Science, Champlain College Saint-Lambert, 2010.