Answer:
148 Inches
Step-by-step explanation:
Scale Drawing is a drawing that has been decreased or increased from its original size to a given scale. This scale is a ratio of the size of the drawing to the size of the object being drawn.
The scale of Jodie's drawing is 2 inches: 1 foot
It means that for every 1 foot of the original house, Jodie represents it with 2 inches on her drawing.
If the actual length of the backyard is 74 feet.
Remember, the scale is a ratio given by:
Size of the drawing : Size of the object being drawn.
Let x be the length of the yard in the drawing
2:1=x:74
x= 2 X 74 = 148 inches
The length of the yard in the drawing is 148 inches.
Given that,
In <u>triangle TPQ, </u>
As it is given that, <u>RS || PQ</u>
So, it means
⇛∠TRS = ∠TPQ [ Corresponding angles ]
⇛ ∠TSR = ∠TPQ [ Corresponding angles ]
<u>Now, We know </u>
Area Ratio Theorem,
This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.
