3. The perimeter of a rectangle is 230 cm. If the length of the rectangle is 70 cm, find its breadth and area.
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Solution!!
The perimeter and length of the rectangle is given in the question. We have to find the breadth and the area of the rectangle.
We will find the breadth first by using the perimeter formula of the rectangle.
Perimeter = 230 cm
Length = 70 cm
Perimeter = 2(Length + Breadth)
230 cm = 2(70 cm + Breadth)
230 cm ÷ 2 = 70 cm + Breadth
115 cm = 70 cm + Breadth
115 cm - 70 cm = Breadth
Breadth = 45 cm
Now that we have the breadth, we can easily use the area formula of the rectangle and calculate the area.
Area = Length × Breadth
Area = 70 cm × 45 cm
Area = 3150 cm²
Answered by
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Perimeter of Rectangle =2(L+B)
230 = 2(70+ B)
230= 140+2B
230-140 =2B
90/2 cm = B
Breadth = 45cm
Area of Rectangle =L×B
= 70×45
= 3150cm²
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