Question

The perimeter of a rectangle is 128 cm, and the ratio of its sides is 5: 3. Find the area of ​​a rectangle

Answer 1

Answer:

Area of the rectangle =$15 cm^2$

Step-by-step explanation:

Perimeter of the rectangle= 128 cm

Ratio of length to width is:

$\frac{Length}{Width}= \frac{5}{3} \\\\Length=5 cm\\\\Width=3 cm$

Area of the rectangle= Length*Width

$=5cm*3cm\\\\=15cm^2$

Area of the rectangle =$15 cm^2$

Answer 2

Answer:

960 cm^2

Step-by-step explanation:

length: width

5  :3

Multiply by x

5x  ; 3x

The perimeter of a rectangle is found by

P =2(l+w)

128 = 2 (5x+3x)

Combine like terms

128 = 2(8x)

128 = 16x

Divide each side by 16

128/16 = 16x/16

8 =x

length : width

5*8:  3*8

40 : 24

We need to find the area

A = l*w

  = 40*24

   =960