Sam’s yard is shaped like a trapezoid. The dimensions are shown in the picture. What is the area of sam’s yard?

(step by step please! ☆)

The area of Sam's yard is 28 square units.

Step-by-step explanation:

Step 1:

The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.

The trapezoid's area

Here a is the lower base length and b is the upper base length while h is the height.

Step 2:

In the given diagram, the upper base is 6 units, so . The lower base is 8 units long, so .  and the height is 4 units, so

The trapezoid's area

So the area of Sam's yard is 28 square units.

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.