Question

100 points please HELP asap!!! (05.01)Which statement best describes the area of the triangle shown below?

Answer 1

Option B:

It is one-half the area of a square of side length 4 units.

Solution:

Base of the triangle = 4 units

Height of the triangle = 4 units

Area of the triangle = $\frac{1}{2} \times\text{base}\times\text{height}$

                                 $=\frac{1}{2}\times{4}\times{4}$

Area of the triangle = 8 square units

Option A: It is one-half the area of a rectangle of length 4 units and width 2 units.

Area of the rectangle = 4 × 2 = 8 square units

Half of rectangle = $\frac{1}{2}\times8=4$ square units

It is not true because area of the triangle is 8 square units.

Option B: It is one-half the area of a square of side length 4 units.

Area of the square = 4 × 4 = 16 square units

Half of square = $\frac{1}{2}\times16=8$ square units

It is true because area of the triangle is 8 square units.

Option C: It is twice the area of a rectangle of length 4 units and width 2 units.

Area of the rectangle = 4 × 2 = 8 square units

Twice of rectangle = 2 × 8 = 16 square units

It is not true because area of the triangle is 8 square units.

Option D: It is twice the area of a square of side length 4 units.

Area of the square = 4 × 4 = 16 square units

Twice of square = 2 × 16 = 32 square units

It is not true because area of the triangle is 8 square units.

Hence Option B is the correct answer.

It is one-half the area of a square of side length 4 units.