Draw all rectangles with an area of 51 square cm with whole number base and height. Find the perimeter of each rectangle

A = LW

51 = 3 * 17

P = 2L + 2W

Hdmakrhsiru

To draw all rectangles with an area of 51 square cm and whole number base and height, we need to find pairs of numbers that multiply together to give 51. To do this, we can start by finding the factors of 51.

The factors of 51 are: 1, 3, 17, and 51.

Now, let's consider each factor as the base of a rectangle and determine the corresponding height:

1) Base = 1, Height = 51
2) Base = 3, Height = 17
3) Base = 17, Height = 3
4) Base = 51, Height = 1

Having found the dimensions of the rectangles, we can calculate the perimeter of each rectangle using the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

For each rectangle, we can calculate its perimeter as follows:

1) Perimeter = 2(1 + 51) = 2(52) = 104 cm
2) Perimeter = 2(3 + 17) = 2(20) = 40 cm
3) Perimeter = 2(17 + 3) = 2(20) = 40 cm
4) Perimeter = 2(51 + 1) = 2(52) = 104 cm

Thus, the perimeters of the rectangles with an area of 51 square cm are 104 cm, 40 cm, 40 cm, and 104 cm, respectively.