Respuesta :

Question 1

Given:

Base of triangle, b = 32 mm

Height of triangle, h = 35 mm

Let's find the area of the triangle.

To solve for the area, apply the formula:

[tex]\text{Area of triangle = }\frac{1}{2}\ast b\ast h[/tex]

Thus, we have:

[tex]\begin{gathered} \text{Area = }\frac{1}{2}\ast32\ast35 \\ \\ \text{Area = 16}\ast35 \\ \\ \text{ Area = 560 mm}^2 \end{gathered}[/tex]

Area: 560 mm²

• Question 2:

Given:

Area of parallelogram, A = 168 yd²

Height of parallelogram, h = 8 yd

Let's find the base, b, of the parallelogram.

To find the base, apply the area of a parallelogram formula:

[tex]\text{Area}=b\ast h[/tex]

Input values into the formula:

[tex]168=b\ast8[/tex]

Let's solve for b.

Divide both sides by 8:

[tex]\begin{gathered} \frac{168}{8}=\frac{b\ast8}{8} \\ \\ 21=b \\ \\ b=21 \end{gathered}[/tex]

Therefore, the base of the parallelogram is 21 yards

ANSWER:

• 1. Area: ,560 mm,²

• 2. Base: ,21 yd