Mathematics, 03.08.2019 00:00 puppy5209

(05.01)which statement best describes the area of the triangle shown below? a coordinate grid is shown with a triangle. the base is 4 units, and the height is 3 units. it is twice the area of a rectangle of length 4 units and width 3 units. it is twice the area of a square of side length 3 units. it is one-half the area of a rectangle of length 4 units and width 3 units. it is one-half the area of a square of side length 3 units.

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Answer from: sere50

The 3rd statement is true.

The area of a triangle is 1/2 the area of a rectangle with the same base and height.

Answer from: israbennett

It is one-half the area of a rectangle of length 4 units and width 3 units.

Step-by-step explanation:

Base of triangle = 4 units.

Height of triangle = 3 units

Formula of area of triangle : $\frac{1}{2} \times Base \times Height$

So, the area of the given triangle = $\frac{1}{2} \times4 \times 3$

= $\frac{12}{2}$

= 6units^2

Option 1: It is twice the area of a rectangle of length 4 units and width 3 units.

Area of rectangle : $Length \times Width$

= $4 \times 3$

= 12 units^2

Area of triangle is 6 square units

Area of rectangle is 12 square units

$6\neq2\times12$

$6\neq24$

So, area of triangle is half the area of rectangle of length 4 units and width 3 units. .

Hence Option 1 is wrong .

Option 2: It is twice the area of a square of side length 3 units.

Area of square = (side)^2

= (3)^2

Area of triangle is 6 square units.

Area of square is 9 square units .

$6\neq2\times9$

$6\neq18$

So, area of triangle is not twice the area the area of a square of side length 3 units.

Hence Option 2 is wrong .

Option 3: It is one-half the area of a rectangle of length 4 units and width 3 units.

Area of rectangle : $Length \times Width$

= $4 \times 3$

= 12 units^2

Area of triangle is 6 square units

Area of rectangle is 12 square units

$6=\frac{1}{2}\times12$

6=6

So, area of triangle is half the area of rectangle of length 4 units and width 3 units.

Hence Option 3 is right.

Option 4 : It is one-half the area of a square of side length 3 units.

Area of square = (side)^2

= (3)^2

Area of triangle is 6 square units.

Area of square is 9 square units .

$6\neq \frac{1}{2} \times 9$

$6\neq 4.5$

Hence Option 4 is wrong .

Hence Option 3 is correct :It is one-half the area of a rectangle of length 4 units and width 3 units.

Answer from: Quest

Free points baby. free points baby. free points baby. hell yeah!

Answer from: Quest

heyyy

step-by-step explanation:

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