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Natasha_Volkova [10]
2 years ago
13

The perimeter of parallelogram ABCD is 72cm. AD is 3cm more than twice AB. Find the lengths of all four sides of ABCD

Mathematics
1 answer:
GarryVolchara [31]2 years ago
6 0

Answer:

AB=11, DC=11, AD=25, BC=25

Step-by-step explanation:

Opposite sides of parallelograms are congruent.

x+x+2x+3+2x+3=72

6x+6=72

6x=66

x=11

2(11)+3 = 25

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Step-by-step explanation:

Complete question is attached.

Answer:

a) ED = 6.5 cm

b) BE = 14.4 cm

Step-by-step explanation:

From the triangle, we are given the following dimensions:

AB = 20 cm

BC = 5 cm

CD = 18 cm

AE = 26 cm

We are asked to find length of sides ED and BE.

a) Find length of ED.

From the triangle Let's use the equation:

\frac{AB}{BC} = \frac{AE}{ED}BCAB=EDAE

Cross multiplying, we have:

AB * ED = AE * BC

From this equation, let's make ED subject of the formula.

ED = \frac{AE * BC}{AB}ED=ABAE∗BC

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b) To find length of BE, let's use the equation:

\frac{AB}{AC} = \frac{BE}{CD}ACAB=CDBE

Cross multiplying, we have:

AB * CD = AC * BE

Let's make BE subject of the formula,

BE = \frac{AB * CD}{AC}BE=ACAB∗CD

From the triangle, length AC = AB + BC.

AC = 20 + 5 = 25

Substituting figures, we have:

BE = \frac{20 * 18}{25}BE=2520∗18

BE = \frac{360}{25} = 14.4BE=25360=14.4

Therefore, length Of BE is 14.4cm

I JUST SO THAT IN INTERNET:)

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