One floor of a dollhouse is 1.6 feet tall. The dollhouse contains two levels of living areas and an attic for a total of 2.5 floors. Jaime estimates the height of the dollhouse by computing 2 times 3. How does her estimate compare to the actual height of the dollhouse?
Answers
Given :- One floor of a dollhouse is 1.6 feet tall. The dollhouse contains two levels of living areas and an attic for a total of 2.5 floors. Jaime estimates the height of the dollhouse by computing 2 times 3. How does her estimate compare to the actual height of the dollhouse ?
Solution :-
Given that, one floor of a dollhouse is 1.6 feet tall and the dollhouse contains a total of 2.5 floors.
So,
→ Height of 1 floor = 1.6 feet
→ Height of 2.5 floors = 1.6 * 2.5 = 4 feet
Therefore, Total height of the dollhouse is 4 feet.
Now, given that, Jaime estimates the height of the dollhouse by computing 2 times 3.
So,
→ Height estimated by Jaime = 2 times 3 = 2 * 3 = 6 feet.
Than,
→ Actual height of dollhouse = 4 feet .
→ Estimated height of dollhouse = 6 feet.
→ Error in estimation = 6 - 4 = 2 feet.
Hence, the actual height is 2 feet less than the estimated height .
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⇝ Height of one floor = 1.6 feet.
⇝ Dollhouse contains two levels of living areas and an attic for a total of 2.5 floors.
Height of 2.5 floors = (1.6 × 2.5) feet
= 4 feet
➮ Total height of the dollhouse is 4 feet.
But Jaime estimate the height of the dollhouse by computing 2 times 3.
➮ Height estimated by Jaime = 2 × 3 feet
⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 6 feet
Now,
⟹ Actual height of the dollhouse = 4 feet
⟹ Estimated height of the dollhouse = 6 feet
↪ (6 - 4)feet
↪ 2 feet
Hence, the actual height of dollhouse is 2 feet less than the estimated height of the dollhouse.