Question

The sides of a rectangle are in the ratio 3 : 2. If the perimeter of the rectangle is 80 cm, find its area.​

Answer 1

Step-by-step explanation:

first we have to find the length and breadth,

so,let us take 3:2 as 3x and 2x

now finding the perimeter of the rectangle so as to get length and breadth

perimeter = 2(l+b)

80 = 2(3x+2x)

80/2 = 5x

40 = 5x

x =40/5

x = 8

as we got the value of x....now 3x = 3×8 = 24cm and

2x = 2×8 = 16cm

finding the area

area = l×b

= 24×16

= 384cm square

Answer 2

Answer:

The area of the rectangle is 384 cm².

The space found inside a 2D shape's perimeter is known as the area. It is expressed as square units like cm2, m2, etc. Multiplying the length and breadth yields the area of a square or some other quadrilateral shape.

step-by-step explanation:

There are several 2-D shapes all around us, including circles, triangles, squares, rectangles, parallelograms, and trapezoids. All of these shapes are tracable on paper. Since every shape is distinct and varied, its area is also determined in a different way. Determine the shape before locating the region.

Let the rectangle's length (l) be $3x cm$

Let the rectangle's width (b) be $2xcm$

The perimeter of the rectangle $=80$

$= 2(length + breadth) = 80$

$= 2 * (3x + 2x) = 80$

$= 2 * (5x) = 80$

$= 10x = 80$

$= x = 80$ ÷ $10$

$= x = 8$

The value of x is $8$

Length of a rectangle $(l) = 3x$

                                         $=3*8$

                                         $=24cm$

breadth of a rectangle $(b)= 2x$

                                           $=2*8$

                                           $= 16 cm$

The rectangle's surface area is $l * b$

                                                   $=24 * 16$

                                                   $= 384 cm sq$

The area of the rectangle is $384 cm^{2}$

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