The perimeter of a rectangle is 130 cm. If the

Berikut ini adalah pertanyaan dari unknown pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Pertama

The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length. Also find the area of the rectangle- Need full explanation in English

Jawaban dan Penjelasan

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{ \large{ \underline{ \purple{ \pmb{ \frak{Given : }}}}}}

★The perimeter of a rectangle is 130 cm

★ the breadth of the rectangle is 30 cm

{ \large{ \underline{ \purple{ \pmb{ \frak{To \: Find : }}}}}}

★ The Breadth of the rectangle and the area of the rectangle

{ \large{ \underline{ \purple{ \pmb{ \frak{Let's \: understand \: the \: concept : }}}}}}

☀️Concept : Here we have been provided with the perimeter of the rectangle and the length of the rectangle and we are asked to find the breadth of the rectangle and the area of the rectangle so, let's use suitable formulae to find the breadth and the area of the rectangle.

{ \large{ \underline{ \purple{ \pmb{ \frak{Using \: concept : }}}}}}

➼ Formula to find the perimeter of the rectangle

✪  Perimeter = 2( Length + Breadth)

➼ Formula to find the area of the rectangle

✪  Area = Length × Breadth.

{ \large{ \underline{ \purple{ \pmb{ \frak{ Solution: }}}}}}

➼ Breadth of the rectangle is 35cm

➼ Area of the rectangle is 1050cm²

{ \large{ \underline{ \purple{ \pmb{ \frak{Full \: solution : }}}}}}

~As we know that Perimeter of the rectangle is 2( Length + Breadth) and the perimeter here is 130cm, Length is 30cm

✪ Perimeter of the rectangle = 2( Length + Breadth)

➼ Perimeter = 2( L + B )

➼ 130cm = 2( 30 + b)

➼ 130cm = 60 + 2b

➼ 2b = 70cm

➼ B = 35cm

  • Henceforth the breadth of the rectangle is 35cm

~ Now, let's find the area of the rectangle using the below mentioned formula Substituting the values of length and breadth

✪  Area of the rectangle = length × Breadth

➼ Area of the rectangle = L × B

➼ Area of the rectangle = 30cm × 35cm

➼ Area of the rectangle = 1050cm²

  • Henceforth the area of the rectangle is 1050cm²

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Last Update: Wed, 14 Jul 21