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Lostsunrise [7]
2 years ago
11

If the length of rectangle is thrice of its breadth and it's perimeter is 32 cm then finds its area​.​

Mathematics
2 answers:
aleksandrvk [35]2 years ago
6 0
  • Area of rectangle is <u>48 cm²</u>.
<h3><u>Explanation </u><u>:</u></h3>

<em><u>Given </u></em><em><u>:</u></em><em><u>-</u></em>

  • Length of rectangle is thrice of its breadth.
  • Its perimeter is 32 cm.

<em><u>To </u></em><em><u>Find </u></em><em><u>:</u></em><em><u>-</u></em>

  • Area of rectangle?

<em><u>Solution </u></em><em><u>:</u></em><em><u>-</u></em>

  • Let breadth of rectangle be x cm
  • As it is stated in question that length of rectangle is thrice its breadth so length of rectangle will be 3x cm

<em>Using </em><em>formula;</em>

  • Perimeter of rectangle = 2(L + B)

<em>Where;</em>

  • L denotes length of rectangle
  • B denotes a breadth of rectangle

<em>We </em><em>have;</em>

  • Perimeter of rectangle = 32 cm
  • Length of rectangle (L) = 3x
  • Breadth of rectangle (B) = x

<em>By </em><em>p</em><em>utting </em><em>all </em><em>values </em><em>in </em><em>formula </em><em>we </em><em>get;</em>

→ 2(3x + x) = 32

→ 2(4x) = 32

→ 2 × 4x = 32

→ 8x = 32

→ x = 32/8

<em>After </em><em>divi</em><em>d</em><em>ing </em><em>3</em><em>2</em><em> </em><em>with </em><em>8</em><em>,</em><em> </em><em>we </em><em>get;</em>

<em>→</em><em> </em>x = 4

<em>Hence;</em>

  • Length (L) = 3x = 3 × 4 = 12 cm
  • Breadth (B) = x = 4 cm

<em>Now,</em><em> </em><em>using </em><em>formula;</em>

  • Area of rectangle = L × B

<em>Where;</em>

  • L denotes length of rectangle
  • B denotes a breadth of rectangle

<em>We have;</em>

  • Length of rectangle (L) = 12 cm
  • Breadth of rectangle (B) = 4 cm
  • Area of rectangle = ?

<em>By putting all </em><em>values </em><em>in </em><em>formula</em><em> w</em><em>e</em><em> </em><em>g</em><em>et</em><em>;</em>

→ Area of rectangle = 12 × 4

<em>By </em><em>multiplying </em><em>1</em><em>2</em><em> </em><em>with </em><em>4</em><em>,</em><em> </em><em>we </em><em>get;</em>

→ Area of rectangle = 48 cm²

  • <u>Hence,</u><u> </u><u>area </u><u>of</u><u> </u><u>rectangle </u><u>is </u><u>4</u><u>8</u><u> </u><u>cm²</u>.
jeka57 [31]2 years ago
3 0

Answer:

48 cm²

Explanation:

Let the breadth be b, then the length is 3b

P = 2(Length + Breadth)

32 = 2(3b + b)

32 = 2(4b)

8b = 32

b = 4

Breadth is 4 cm

Length: 3b = 3(4) = 12 cm

Area of rectangle:

Length × Breadth

12 × 4

48 cm²

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