In Fig. 9.38, ABCD is a square with AB = 15 cm. Find the area of the square BDFE.
Solution:
Given, ABCD is a square
AB = 15 cm
We have to find the area of the square BDFE.
From the figure,
BD is the diagonal of the square ABCD.
Diagonal of square = side × √2
= 15√2 cm
So, the length of the side of square BDFE = 15√2 cm
Area of square = (side)²
= (15√2)²
= (15)² × 2
= 225(2)
= 450 cm²
Therefore, the area of square BDFE is 450 cm².
✦ Try This: Each side of a square flower bed is 3m 90 cm long, It is extended by digging a strip 40 cm wide all around it. Find the area of the enlarged flower bed and also the increase in the area of the flower bed.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11
NCERT Exemplar Class 7 Maths Chapter 9 Problem 84
In Fig. 9.38, ABCD is a square with AB = 15 cm. Find the area of the square BDFE.
Summary:
In Fig. 9.38, ABCD is a square with AB = 15 cm. The area of the square BDFE is 450 cm².
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