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A certain town has an area of 4.36 square miles. What is the area, in square yards, of this town? ( 1 mile
=1,760 yards)
A) 404
1,760 ×4.36=7,673
B) 7,674
C) 710,459
7,67
D)
13,505,536

A certain town has an area of $4$ . $36$ square miles. What is the area, in square yards, of this town? ( $1$ mile $=1,760$ yards) $\newline$ A) $404$ $1,760 \times 4.36=7,673$ $\newline$ B) $7$ , $674$ $\newline$ C) $710$ , $459$ $\newline$ $\newline$ D) $13,505,536$

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Scale drawings: word problems

Full solution

Q. A certain town has an area of

4

.

36

square miles. What is the area, in square yards, of this town? (

1

mile

=1,760

yards)

\newline

A)

404

1,760 \times 4.36=7,673

\newline

B)

7

,

674

\newline

C)

710

,

459

\newline

\newline

D)

13,505,536

Convert to square yards: Convert the area from square miles to square yards using the conversion factor $1$ mile $= 1,760$ yards. $\newline$ Area in square yards $=$ Area in square miles $\times (1,760$ yards/mile) $\times (1,760$ yards/mile)
Calculate square yards: Calculate the area in square yards. $\newline$ Area in square yards = $4.36 \text{ square miles} \times (1,760 \text{ yards/mile}) \times (1,760 \text{ yards/mile})$
Perform multiplication: Perform the multiplication to find the area in square yards. Area in square yards = $4.36 \times 1,760 \times 1,760$
Calculate product: Calculate the product. $\newline$ Area in square yards = $13,505,536$

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