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A rectangle has a perimeter of 56 centimeters and a height of 12 centimeters. What is the length of the base?

User P D
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1 Answer

1 vote

Explanation:

this is a college level question ? elementary school students must be able to solve this.

the perimeter of a rectangle is

2×length + 2×width

as when you walk around a rectangle one full time, you have to walk the long side twice and the short side twice - it has 4 sides, you know.

other words for length : base, ...

other words for width : height, breadth, ...

so, we know

56 = 2×12 + 2×base = 24 + 2×base

now we can make it totally simple right away and divide everything by 2

28 = 12 + base

16 = base

the base (or length) is 16 cm.

User Drubin
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7.8k points