Draw a rectangle, the area is 24 square centimeters, the ratio of length and width is 3:2 The answer, I know, is 6cm in length and 4cm in width, but how is it calculated?

Draw a rectangle, the area is 24 square centimeters, the ratio of length and width is 3:2 The answer, I know, is 6cm in length and 4cm in width, but how is it calculated?

Because: length * width = 24 square centimeters
It is also because: length / width = 3 / 2, that is to say, length is 3 / 2 times of width (length = 3 width / 2). Substituting into the first formula, we get 3 * width ^ 2 / 2 = 24, and simplify it to: square of width = 16, so width = 4cm, length = 3width / 2 = 6cm

Draw a rectangle, the area is 24 square centimeters, the ratio of length and width is 3:2

According to the stem analysis: 4 × 6 = 24 (square centimeter), and 6:4 = 3:2, so draw this rectangle as follows:

There is a rectangle. If the width is unchanged and the length is increased by 4cm, the area will be increased by 24cm2. If the length is unchanged and the width is increased by 3cm, the area will be increased by 36cm2

Let the length be x cm and the width be y cm
(x+4)y-xy=24
x(y+3)-xy=36
x=12cm,y=6cm
Original area xy = 72cm 2

Draw a rectangle with an area of 24 square centimeters. The ratio of length to width is 3 to 2. What is the length and width?

Let length: width = 3x: 2x
3x*2x=24,x=2
It is 6 in length and 4 in width