Question

what is the area of this figure? figure with dimensions: 5 yd, 2 yd, 4 yd, 2 yd, 3 yd, 4 yd, 5 yd, 8 yd write your answer using decimals, if necessary. square yards

Explanation:

Step1: Split into 3 rectangles + 1 triangle

First, define the shapes:

1. Left rectangle: width $3$ yd, height $8$ yd
2. Middle rectangle: width $4$ yd, height $8-2=6$ yd
3. Top rectangle: width $5$ yd, height $6-2=4$ yd
4. Right triangle: base $8$ yd, height $5$ yd

Step2: Calculate area of left rectangle

$\text{Area}_1 = 3 \times 8 = 24$ square yd

Step3: Calculate area of middle rectangle

$\text{Area}_2 = 4 \times 6 = 24$ square yd

Step4: Calculate area of top rectangle

$\text{Area}_3 = 5 \times 4 = 20$ square yd

Step5: Calculate area of right triangle

$\text{Area}_4 = \frac{1}{2} \times 8 \times 5 = 20$ square yd

Step6: Sum all areas

$\text{Total Area} = 24 + 24 + 20 + 20$

Answer:

88 square yards