Question

A smaller triangle is cut out of a larger triangle. The larger triangle is a right triangle with side lengths of 5 millimeters and 12 millimeters. The smaller triangle has side lengths of 4 millimeters and 3 millimeters. What is the area of the shaded region?

Answer 1

Options :

21 mm2

24 mm2

42 mm2

48 mm2

Answer: 24mm^2

Step-by-step explanation:

Given the following :

Side length of larger triangle:

Base = 5mm

Height = 12mm

Side length of smaller triangle :

Base = 4mm

Height = 3mm

Area of triangle :

0.5 × base × height

Area of larger triangle :

0.5 × 12mm × 5mm = 30mm^2

Area of smaller triangle :

0.5 × 4mm × 3mm = 6mm^2

Area of shaded region :

(Area of larger triangle - Area of smaller triangle)

(30mm^2 - 6mm^2) = 24mm^2