16. Find the breadth of a rectangle if its length is 20
cm and length of its diagonal is 25 cm.
Share
16. Find the breadth of a rectangle if its length is 20
cm and length of its diagonal is 25 cm.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
ANSWER:
Let the diagonal, length, and breadth be given by D, L, and B , respectively. From the statement of the problem, we know
D+L=20
B=15
From the Pythagorean theorem, we can write
B2+L2=D2
So we have three equations and three unknowns. Solving for D , L , and B , we get
D=1258cm
L=358cm
B=15cm
In particular, the length of the rectangle is 358=4.375cm.
Here is a sketch of the rectangle:
Step-by-step explanation:
area of a rectangle=length×breadth
=20×breadth
diagonal=25
length = 5 cm