Question

IS
5. The area of a rectangle is 972 cm- and its length is 36 cm, find:
(i) breadth
(ii) diagonal​

Answer 1

Answer:breadth= 27 cm

diagonal=45 cm

Step-by-step explanation:

(i) area of a rectangle =length x breadth

area =972 cm^2

length=36 cm

breadth=area/length=972/36=27 cm

(ii) a rectangle can be divided into 2 right triangles

in a right triangle, base^2 + altitude^2 = hypotenuse^2

in a rectangle, diagonal^2= length^2 + breadth^2

=36^2 +27^2=1296 + 729 =2025

so, diagonal =√2025= 45 cm

Answer 2

Step-by-step explanation:

area of rectangle = 972 cm²

length =36 cm

breadth= ?

area of rectangle= 972 cm ²

l * b =972

b= 972 cm²/36 cm

b= 27 cm

length of diagonal= √l²+b²

=√(36)²+(27)²

=√1296+729

√. =√

b v. 2025

;. =45 cm