Question

if the perimeter of a rectangle having sides in a ratio 3:2 is 80 cm , then find the length of the rectangle​

Answer 1

Answer:

Toppr

Question

The ratio of the area of a rectangle to that of a square is 3 : 2 . The perimeter of the square is 32 cm . The ratio of the breadth to the length of the rectangle is 2 : 3 . Find the difference between the perimeter of the square and the rectangle.

Answer · 2 votes

The perimeter of squire is 32 cm Then side of square = 324 = 8 cm Then area of square = (8)^2 = 64 cm^2 The ratio of the area of a rectangle to that of a square is 3 : 2 then area of rectangle = 32 × 64 = 96 cm^2 Let the length of rectangle angle is 3x , and breadth is 2x Then area of rectangle = 3x × 2x = 96 6x^2 = 96 x^2 = 16 x = 4 cm Then length of rectangle = 3 × 4 = 12 and breadth = 2 × 4 = 8 cm Then perimeter of rectangle = 2(12 + 8) = 40 Then difference between the perimeter of the square and the rectangle = 40 - 32 = 8 cm

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Testbook.com

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"The ratio between the perimeter and the breadth of a rectangle is 3 : 1. If the area of the rectangle is 310 sq. cm, the length of the rectangle is nearly:"

Answer · 1572 votes

"Given: Ratio between perimeter and breadth = 3 : 1 Formula used: Perimeter of rectangle = 2 × (length + breadth) Area of rectangle = length × breadth Calculation: Let the length and breadth be l and b respectively. According to question, 2(l + b) : b = 3 : 1 ⇒ 2l + 2b = 3b ⇒ b = 2l Area of rectangle = length × breadth ⇒ 310 = l × 2l ⇒ 310 = 2l2 ⇒ l2 = 155 ⇒ l ≈ 12.45 cm ∴ The length of the rectangle is nearly 12.45 cm."

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Doubtnut

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The perimeter of a rectangle is 30 cm. The length and breadth of the rectangle are inegers in cm. Find the number of possible pairs of length and breadth in cm.

Answer · 3500 votes

1 6 7 8 Answer: C Solution: Given , `2(l+b)=30cm` `(l+b)=15 cm` The possible pairs are `(14,1),(13,2),(12,3),(11,4),(10,5),(9,6), (8,7)`. Hence the correct option is (c).

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Sarthaks eConnect

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Perimeter of a rectangle is 18 cm. Its sides are in the ratio 3 : 4. Draw the rectangle.

Answer · 1 vote

Perimeter of rectangle = 18 cm Sides are in the ratio = 3 : 4 Step of construction : (i) Draw XY = 9 cm. (ii) Make ∠YXZ < 90° and mark the points A1, A2, A3, A4, A5, A6 and A7. Such that XA1 = A1 A2 = A2 A3 = A3 A4 = A4 A5 = A5 A6 = A6 A7 (iii) Join A7 Y (iv) Make ∠XA7Y = ∠XA3P ∴ XP : PY = 3 : 4 (v) ∠SPY = 90° (vi) Taking centre P and radius equal to XP draw a arc which intersect PS at the point Q. PQRY is a rectangle.

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The sides of a rectangle are in the ratio 3 : 2. If the perimeter of the rectangle is 80 cm, find its - Brainly.in

14-Sep-2020 · 2 answers

Step-by-step explanation: first we have to find the length and breadth,. so,let us take 3:2 as 3x and 2x. now finding the perimeter of the ...

Answer 2

Answer:

Hence, value of length and breadth of the rectangle will be

$Length = 3x = (3\times 8) = 24\:cm\\Breadth = 2x (2 \times 8) = 16\:cm$

Step-by-step explanation:

In context to the question asked,

We have to determine the value of length and breadth of the rectangle.

As per data given in the question,

It is given that,

Side of rectangle are in ratio of 3 : 2

Perimeter of rectangle = 80 cm

As we know that,

Perimeter of rectangle can be determined by using the formula $Perimeter = 2 (l +b)$

So, let the length and breadth of rectangle are 3x and 2x respectively.

So, in order to determine the value of length and breadth we will put the assumed value of length and breadth of rectangle in above formula.

Thus we will get,

$Perimeter = 2 (3x+2x)\\=>80= 2 \times 5x\\=>10x = 80\\=>x = \frac{80}{10} = 8$

So, value of length and breadth of the rectangle will be

$Length = 3x = (3\times 8) = 24\:cm\\Breadth = 2x (2 \times 8) = 16\:cm$