contestada

a figures made of a rectangle and an isosceles right triangle the rectangle triangle has sides of 6 inches and 3 inches one of the short sides of the rectangle is also one of the legs of the right triangle what is the total area of the figure​

Respuesta :

calculista

Answer:

The total area of the figure is [tex]22.5\ in^{2}[/tex]

Step-by-step explanation:

we know that

The area of the figure is equal to the area of the rectangle plus the area of the isosceles right triangle

Find the area of rectangle

[tex]A=(6)(3)=18\ in^{2}[/tex]

Find the area of the isosceles right triangle

[tex]A=\frac{1}{2}(3)(3)=4.5\ in^{2}[/tex]

Find the total area of the figure

[tex]18\ in^{2}+4.5\ in^{2}=22.5\ in^{2}[/tex]