Question

A rectangle Is removed from a right triangle to create the shaded region shown below.if

Answer 1

`9(1)/(2) cm^2`

Explanation:

The area of the shaded region = area of triangle - area of the rectangle

Base, b of the triangle = 3 + 4 = 7 cm

Ar of triangle = base*height/2

= 7*5/2

= 35/2

`=17(1)/(2) cm^2`

ar of rectangle = length *breadth

= 4*2

= 8 cm²

The area of the shaded region = area of triangle - area of the rectangle

`=17(1)/(2) - 8\\\\=9(1)/(2) cm^2`

Answer 2

16.5 cm²

Explanation:

The shaded area is the area of the triangle minus the area of the rectangle.

A = bh/2 - LW

For the triangle,

b = 3 cm + 4 cm = 7 cm

h = 2 cm + 5 cm = 7 cm

For the rectangle,

L = 4 cm

W = 2 cm

A = bh/2 - LW

A = (7 cm)(7 cm)/2 - (4 cm)(2 cm)

A = 24.5 cm² - 8 cm²

A = 16.5 cm²