A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin
Solution:
Let's draw a figure as shown below.
Let the blue region represent the cardboard and the yellow region represent the picture.
Area of the cardboard = Length × Breadth
= 8 cm × 5 cm
= 40 cm2
Length of the inner cardboard = 8 cm - (1.5 × 2) cm
= 8 cm - 3 cm
= 5 cm
Breadth of the inner cardboard = 5 cm - (1.5 × 2) cm
= 5 cm - 3 cm
= 2 cm
Area of the inner cardboard = Length × Breadth
= 5 cm × 2 cm
= 10 cm2
Area of the margin = Area of the cardboard - Area of the inner cardboard
= 40 cm2 -10 cm2
= 30 cm2
Hence, total area of margin = 30 cm2
☛ Check: NCERT Solutions Class 7 Maths Chapter 11
Video Solution:
A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin
Maths NCERT Solutions Class 7 Chapter 11 Exercise 11.4 Question 3
Summary:
A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. The total area of the margin is 30 cm2.
☛ Related Questions:
- A Verandah Of Width 225 M Is Constructed All Along Outside A Room Which Is 55 M Long And 4 M Wide Find I The Area Of The Verandah Ii The Cost Of Cementing The Floor Of The Verandah
- A Path 1 M Wide Is Built Along The Border And Inside A Square Garden Of Side 30 M Find I The Area Of The Path Ii The Cost Of Planting Grass In The Remaining Portion Of The Garden
- Two Cross Roads Each Of Width 10 M Cut A Right Angles Through The Centre Of A Rectangular Park Of Length 700 M And Breadth 300 M And Parallel To Its Sides Find The Area Of The Roads
- Through A Rectangular Field Of Length 90 M And Breadth 60 M Two Roads Are Constructed Which Are Parallel To The Sides And Cut Each Other At Right Angles Through The Centre