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2 years ago

Find the area and perimeter

Mathematics

1 answer:

mihalych1998 [28]2 years ago

6 0

Answer:

Area=2232 square ft

Perimeter=206 ft

Step-by-step explanation:

given

the diagram is a rectangle

length=72 ft

width=31 ft

we know that

formula of the area of rectangle= length × width

Area=72×31 square ft

Area=2232 square ft

Now calculate the perimeter

perimeter of rectangle=2(length+width)

perimeter=2(72+31)

perimeter=2(103)

perimeter=206 ft

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The perimeter of a rectangular field is 372 yards. If the width of the field is 87 yards, what is its length?__yards

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ANSWER

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EXPLANATION

Given information

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To find the length of the rectangular field, follow the steps below

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$\begin{gathered} \text{ The perimeter of a rectangular field = 2\lparen l + w\rparen} \\ \text{ where l =length, and w = width} \end{gathered}$

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$\begin{gathered} \text{ Perimeter = 2 \lparen l + w\rparen} \\ \text{ Perimeter = 372 yards} \\ \text{ width = 87 yards} \\ \text{ 372 = 2\lparen l + 87\rparen} \\ \text{ Divide both sides by 2} \\ \text{ }\frac{372}{2}\text{ = }\frac{2}{2}(l\text{ + 87\rparen} \\ 186\text{ = l + 87} \\ \text{ subtract 87 from each sides of the equation} \\ \text{ 186 - 87 = l + 87 - 87} \\ \text{ 99 = l} \\ l\text{ = 99 yards} \end{gathered}$

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