Q121 of 142 Page 88

Find the side of a square whose area is equal to the area of a rectangle with sides 6.4 m and 2.5 m.

Given:

Length of rectangle (l) = 6.4m

Breadth of rectangle (b) = 2.5m

Area of rectangle = l× b

= 6.4 × 2.5

= 16m²

Then area of square = 16m² (equal to rectangle)

As we know,

Area of square = side × side

16 = (side)²

4² = (side)²

⇒ side = 4m

119

Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. Find the numbers.

120

How many square metres of carpet will be required for a square room of side 6.5 m to be carpeted.

122

Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.

123

Find the number of plants in each row if 1024 plants are arranged so that number of plants in a row is the same as the number of rows.