Solving Problems On The Properties Of Parallelograms GRADE 9 – LEAP 3RD QUARTER

Solving Problems on the Properties of Parallelograms

GRADE 9 – LEAP 3RD QUARTER

Step-by-step explanation:

X = 6

AB = 13 cm

y = 10

AD = 13 cm

Perimeter = 52 cm

Step-by-step explanation:

(I have a feeling that you got your measurements wrong. I noticed that you put CD=(x-7)cm when you might mean CD = (x+7)cm since “=” and “+” are on the same key. For now I shall assume that you meant CD= (x+7)cm)

One of the properties of a parallelogram is that it has congruent opposite sides. In parallelogram ABCD, AB=CD and BC=AD.

We are given the sides of the parallelogram. We can substitute the values and equate the opposite sides.

AB = CD

3x − 5 = x + 7

3x – x = 7+5

2x = 12

x = 6

We have x = 6.

AB – 3x – 5

AB

3(6) – 5

AB 18-5

AB = 13

AB is 13 cm. Since AB = CD; CD is also 13 cm.

Let us do the other pair of opposite sides, BC and AD. They are also equal to each other.

BC = AD

2y7= y + 3

2y-y = 7+3

y = 10

We have y = 10.

AD = y + 3

AD 10+ 3

AD = 13

AD is 13 cm. Since AD = BC; BC is also 13 cm.

The perimeter of a polygon is the sum of the measures of all its sides. To get the perimeter of parallelogram ABCD, we add the measures of all its sides.

Perimeter (ABCD) = AB + BC+CD+CD

Perimeter (ABCD) 13+13+13 + 13

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Perimeter (ABCD) = 52

The perimeter of Parallelogram ABCD is 52 cm.

To know more about parallelograms, click here

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