This rectangle and right triangle have the same perimeter.


What is the difference in their areas?


0 square cm

0 square cm

2.0 square cm

2.0 square cm

3.6 square cm

3.6 square cm

4.8 square cm

4.8 square cm

This rectangle and right triangle have the same perimeter What is the difference in their areas 0 square cm 0 square cm 20 square cm 20 square cm 36 square cm 3 class=

Respuesta :

Answer:

0.18 cm²

Step-by-step explanation:

Given that a rectangle and a triangle have same perimeter . The sides of them are ,

[tex]\begin{cases} Square = 4cm , 4cm , 3cm \ and \ 3cm .\\ Triangle = 4cm , 5.8cm \ and \ 4.2cm \end{cases}[/tex]

We know that area of rectangle is product of length and breadth.

[tex]\implies Area = length \times breadth \\\\\implies Area = 4cm \times 3cm\\\\\implies \red{ Area = 12cm^2}[/tex]

Also we know that the area of triange is half the product of base and height . So that ,

[tex]\implies Area = \dfrac{1}{2}\times 5.8cm \times 4.2 cm \\\\\implies \red{ Area = 12.18 cm^2 }[/tex]

Therefore the difference between them is ,

[tex]\implies D = A_1 - A_1 \\\\\implies D = 12.18cm^2-12cm^2 \\\\\implies \red{D = 0.18 cm^2}[/tex]