Question

Above, a right triangle is removed from a rectangle. What is the area of the remaining figure?

Answer 1

$48 {in}^{2}$

Answer 2

Answer: B . 48 in²

Step-by-step explanation:

First o all complete the block and find the area

       The area of the completed block which looks like a rectangle

                                                                          =  L x B

                                                                          = 9 x 6

                                                                          = 54 in²

Step 2 : Find the area of the removed right angled triangle using the formula

                                                                         = ¹/₂b x h

where the base is 3 in and the height is 4 in

                                                                        = ¹/₂ x 3 x 4

                                                                        = 6 in².

Therefore, to find the area of the remaining  figure :

Area of the complete block less the area of the right  angled triangle

                                                                        = ( 54 - 6 ) in²

                                                                        = 48 in²

The option therefore is  B