The area of a piece of paper is 185/26 m^2 and its breadth is 35/13 cm . Find its length and perimeter

Convert to meters: First, we need to convert the breadth from centimeters to meters to match the units of the area. 1 cm = 0.01 m Breadth in meters = (35/13) cm * (0.01 m / 1 cm) Breadth in meters = (35/13) * 0.01 Breadth in meters = 35/1300 mFind length: Now, we can use the area and the breadth to find the length. Area = Length * Breadth Length = Area / Breadth Length = (185/26) m^2 / (35/1300) mCalculate length: To divide by a fraction, we multiply by its reciprocal. Length = (185/26) * (1300/35) Length = (185*1300) / (26*35) Length = 240500 / 910 Length = 264.285714286 mFind perimeter: Next, we will find the perimeter of the piece of paper. Perimeter = 2 * (Length + Breadth) First, we need to ensure that the breadth is also in meters for the calculation. Breadth = 35/1300 m (from the first step) Perimeter = 2 * (264.285714286 m + 35/1300 m)Calculate perimeter: Now, we add the length and breadth and then multiply by 2 to get the perimeter. Perimeter = 2 * (264.285714286 m + 35/1300 m) Perimeter = 2 * (264.285714286 m + 0.02692307692 m) Perimeter = 2 * (264.312637363 m) Perimeter = 528.625274726 m

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The area of a piece of paper is $\frac{185}{26} \, \text{m}^2$ and its breadth is $\frac{35}{13} \, \text{cm}$ . Find its length and perimeter

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Q. The area of a piece of paper is

\frac{185}{26} \, \text{m}^2

and its breadth is

\frac{35}{13} \, \text{cm}

. Find its length and perimeter

Convert to meters: First, we need to convert the breadth from centimeters to meters to match the units of the area. $\newline$ $1 \, \text{cm} = 0.01 \, \text{m}$ $\newline$ Breadth in meters = $(35/13) \, \text{cm} \times (0.01 \, \text{m} / 1 \, \text{cm})$ $\newline$ Breadth in meters = $(35/13) \times 0.01$ $\newline$ Breadth in meters = $35/1300 \, \text{m}$
Find length: Now, we can use the area and the breadth to find the length. $\newline$ $\text{Area} = \text{Length} \times \text{Breadth}$ $\newline$ $\text{Length} = \frac{\text{Area}}{\text{Breadth}}$ $\newline$ $\text{Length} = \frac{(185/26) \, \text{m}^2}{(35/1300) \, \text{m}}$
Calculate length: To divide by a fraction, we multiply by its reciprocal. $\newline$ Length = $(\frac{185}{26}) \times (\frac{1300}{35})$ $\newline$ Length = $(185\times1300) / (26\times35)$ $\newline$ Length = \frac{ $240500$ }{ $910$ } $\newline$ Length = $264$ . $285714286$ \text{ m}
Find perimeter: Next, we will find the perimeter of the piece of paper. $\newline$ Perimeter = $2 \times (\text{Length} + \text{Breadth})$ $\newline$ First, we need to ensure that the breadth is also in meters for the calculation. $\newline$ Breadth = $\frac{35}{1300}$ m (from the first step) $\newline$ Perimeter = $2 \times (264.285714286 \, \text{m} + \frac{35}{1300} \, \text{m})$
Calculate perimeter: Now, we add the length and breadth and then multiply by $2$ to get the perimeter. $\newline$ Perimeter = $2 \times (264.285714286 \, \text{m} + \frac{35}{1300} \, \text{m})$ $\newline$ Perimeter = $2 \times (264.285714286 \, \text{m} + 0.02692307692 \, \text{m})$ $\newline$ Perimeter = $2 \times (264.312637363 \, \text{m})$ $\newline$ Perimeter = $528.625274726 \, \text{m}$