Question

Find perimeter in fraction L=7l B=5ml

Answer 1

Answer:

72

∠A = 108°

∠B = 72°

∠C = 108°

∠D = 72°

Step-by-step explanation:

Given:-

Ratio of two adjacent angles of a parallelogram = 3:2.

To Find:-

Angles of the parallelogram.

Theorem used:-

Opposite angles of the parallelogram are equal. ____{1}

Angle Sum Property of Quadrilateral.

Solution:-

Let the Two adjacent angles be 3x and 2x.

So, {from 1}

∠A = ∠C = 3x

∠B = ∠D = 2x

Now, By Angle Sum Property of Quadrilateral

⟹\:∠A + ∠B + ∠C + ∠D = 360°⟹∠A+∠B+∠C+∠D=360°

⟹\:3x + 2x + 3x + 2x = 360°⟹3x+2x+3x+2x=360°

⟹\:10x = 360°⟹10x=360°

⟹\:x =\dfrac{360°}{10}⟹x=

10

360°

⟹\:x =36⟹x=36

Now, Angles of the Quadrilateral

∠A = ∠C = 3x = 3×36 = 108°

∠B = ∠D = 2x = 2×36 = 72°

Hence,

∠A = 108°

∠B = 72°

∠C = 108°

∠D = 72°

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Answer 2

Step-by-step explanation:

Let breadth be x Length=7/5 *x=7x/5 perimeter of rectangle=2(l+b)=2(7x/5+x) given,perimeter =48cms 2(7x/5+x)=48 7x/5+x=48/2=24