Find the Rectangle Perimeter: When 4cm Square Equals 1cm-Sided Rectangle Area

Question

The area of the square whose side length is 4 cm is
equal to the area of the rectangle whose length of one of its sides is 1 cm.

What is the perimeter of the rectangle?

Video Solution

Solution Steps

00:00 Calculate the perimeter of the rectangle
00:03 We'll use the formula for calculating the area of a square
00:06 Side(4) squared
00:09 This is the area of the square
00:13 Now we'll use the formula for calculating the area of a rectangle
00:16 Side(1) multiplied by side(X)
00:19 We'll substitute appropriate values and solve for X
00:23 Now that we have the rectangle's sides, we can calculate its perimeter
00:26 The perimeter of the rectangle equals the sum of its sides
00:31 We'll substitute appropriate values and solve for the perimeter
00:34 And this is the solution to the question

Step-by-Step Solution

After squaring all sides, we can calculate the area as follows:

42=16 4^2=16

Since we are given that the area of the square equals the area of the rectangle , we will write an equation with an unknown since we are only given one side length of the parallelogram:

16=1×x 16=1\times x

x=16 x=16

In other words, we now know that the length and width of the rectangle are 16 and 1, and we can calculate the perimeter of the rectangle as follows:

1+16+1+16=32+2=34 1+16+1+16=32+2=34

Answer

34

More Questions

Related Subjects

Calculating the Area of a Rectangle The perimeter of the rectangle Area Rectangle Perimeter

Question Types

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