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

Mathematics

2 answers:

marishachu [46]4 years ago

8 0

$48 {in}^{2}$

nika2105 [10]4 years ago

7 0

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

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