Question

what is the area of the shaded region? 34 yd 23 yd 22 yd 33 yd write your answer as a whole number or a decimal rounded to the nearest hundredth.

Explanation:

Step1: Calculate area of outer triangle

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$. For the outer triangle, base = 33 yd and height = 34 yd.
$A_{outer} = \frac{1}{2} \times 33 \times 34$
$A_{outer} = \frac{1}{2} \times 1122 = 561$ square yards.

Step2: Calculate area of inner triangle

For the inner triangle, base = 22 yd and height = 23 yd.
$A_{inner} = \frac{1}{2} \times 22 \times 23$
$A_{inner} = \frac{1}{2} \times 506 = 253$ square yards.

Step3: Subtract inner area from outer area

The area of the shaded region is $A_{shaded} = A_{outer} - A_{inner}$.
$A_{shaded} = 561 - 253 = 308$ square yards.

Answer:

308