17. Case Study based
Rectangular Plot Pre-requisite knowledge Geometry
Ashok wanted to divide his rectangular Geld to grow Nowering plants for his flower business. He
wanted to divide the field to four triangular parts as given in the Mure below.
In the Meld ABCD, E and are the mid points of AB and BD respectively
Given AB - 400m and AD = 400 m
2
=
1
(0) Find the length of the side DE of MADH
(0) 520m
(10 670m
(10 650m (v) som
(b) Find the area of the MDE
(034000 sq.m
co4aboo sam (11040000 sq.m () 36000 sqm
What is the ratio of the area of AAD to aren of AHOC
(1011
(104-1
(d) Check whether ABAD - AUCD and ABAD - AOCD
( Not similar (1) congruent (ID Similar (iv) Similar and congruent
(9) What is the ratio of the length of oc to the length of BD
(0:1
(1013
(110311
Answers
Answer:
Given:
Ashok wanted to divide his rectangular field to grow flowering plants for his flower business. He wanted to divide the field into four triangular parts as given in the figure below.
In the field ABCD, E and 0 are the midpoints of AB and BD respectively.
Given AB = 400m and AD = 480 m
To find:
The length of the side DE of ΔADE
Solution:
Referring to the figure attached below, we have
The dimensions of the field ABCD:
Length AB = 400 m
Breadth AD = 480 m
∵ E is the midpoint of AB
∴ AE =
Considering Δ ADE, using the Pythagoras theorem, we get
Thus, the length of the side DE of ΔADE is → option (i) → 520 m.
Step-by-step explanation:
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Answer:
(a) =(i).
(b)= (iii).
(c) = (?)
(d)=(i)
(e)=(?)