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In the Given Figure, Abcd is a Parallelogram. If Ab = 12 Cm, Ae = 7.5 Cm, Cf = 15 Cm, Then Ad = - Mathematics

Answer in Brief

In the given figure, ABCD is a parallelogram. If AB = 12 cm, AE = 7.5 cm, CF = 15 cm, then AD =

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Solution

Given: (1) ABCD is a parallelogram.

(2) AB = 12 cm

(3) AE = 7.5 cm

(4) CF = 15cm

To find: AD

Calculation: We know that,

Area of a parallelogram = base × height

Area of a parallelogram ABCD = DC ×AE (with DC as base and AE as height) ……(1)

Area of a parallelogram ABCD = AD ×CF (with DC as base and AE as height) ……(2)

Since equation 1 and 2 both are Area of a parallelogram ABCD

`DC xx AE = AD xx CF`

           `AD = (DC xx AE)/(CF)`

          `AD = (AB xx AE)/(CF)` (AB = DC , opposite sides of parallelogram are eual ) 

          `AD = (12 xx 7.5)/15`

           AD = 6 cm 

 

 

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 14 Areas of Parallelograms and Triangles
Q 13 | Page 61
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