English

Abcd is a Square with Each Side 12 Cm. P is a Point on Bc Such that Area Of δAbp: Area of Trapezium Apcd = 1: 5. Find the Length of Cp. - Mathematics

Advertisements
Advertisements

Question

ABCD is a square with each side 12 cm. P is a point on BC such that area of  ΔABP: area of trapezium APCD = 1: 5. Find the length of CP.

Sum
Advertisements

Solution

The figure is shown below:

`"Area of ΔABP"/"Area of trapezium APCD" = 1/5`

⇒ `[ 1/2 xx 12 xx ( 12 - "CP" )]/[ 1/2 xx ( 12 +"CP") xx 12] = 1/5`

⇒ 60 - 5CP = 12 + CP
⇒  6CP = 48
⇒ CP = 8 cm.

shaalaa.com
  Is there an error in this question or solution?
Chapter 20: Area and Perimeter of Plane Figures - Exercise 20 (B) [Page 256]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 20 Area and Perimeter of Plane Figures
Exercise 20 (B) | Q 31 | Page 256
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×