Area and Perimeter (Copy)
1.
A rectangle measures 12 cm by 8 cm.
Find its area and perimeter.
2.
A rectangle has perimeter 42 cm and length 12 cm.
Find its width and area.
3.
A square has side 15 cm.
Find its perimeter and area.
4.
The length of a rectangle is twice its width.
If perimeter = 60 cm, find its area.
5.
A triangle has base 18 cm and height 12 cm.
Find its area.
6.
A triangle has sides 9 cm, 12 cm, 15 cm.
Find its area.
7.
A triangle has sides 8 cm, 10 cm, 12 cm.
Find its area using Heron’s formula.
8.
The base of a triangle is 20 cm and its area is 160 cm².
Find its height.
9.
A parallelogram has base 14 cm and height 9 cm.
Find its area.
10.
A parallelogram has sides 12 cm and 8 cm, and height corresponding to longer side = 6 cm.
Find its area and perimeter.
11.
A trapezium has parallel sides 8 cm and 12 cm, height 5 cm.
Find its area.
12.
A trapezium has parallel sides 15 cm and 25 cm, non-parallel sides 10 cm and 12 cm.
Find its perimeter.
13.
A trapezium has area 240 cm², parallel sides 18 cm and 22 cm.
Find its height.
14.
A rhombus has diagonals 16 cm and 12 cm.
Find its area.
15.
A field in shape of parallelogram has base 40 m, height 28 m.
Find its area in m².
16.
The base of a parallelogram is 24 cm. Its area is 288 cm².
Find its height.
17.
A triangular garden has area 126 m² and base 14 m.
Find its height.
18.
A triangular plot has sides 13 m, 14 m, 15 m.
Find its area.
19.
A trapezium has parallel sides 6 m and 10 m. Its height is 4 m.
Find its area.
20.
The diagonals of a rhombus are 10 cm and 24 cm.
Find its area.
21.
A square plot has area 2500 m².
Find its perimeter.
22.
The base of a triangle is 36 cm and its area is 432 cm².
Find its height.
23.
A parallelogram has sides 20 cm and 12 cm.
If the height corresponding to base 20 cm is 9 cm, find its area.
24.
A trapezium has area 300 cm². Its parallel sides are 18 cm and 12 cm.
Find its height.
25.
A triangle has sides 7 cm, 24 cm, and 25 cm.
Find its area.
26.
A rectangle has diagonal 25 cm and width 15 cm.
Find its length, area, and perimeter.
27.
A triangle has base 30 cm and height 16 cm.
Find its area.
28.
A rhombus has area 120 cm². One diagonal is 12 cm.
Find the other diagonal.
29.
The perimeter of a rectangle is 64 cm. Its length is 18 cm.
Find its width and area.
30.
A trapezium has parallel sides 40 m and 60 m, height 25 m.
Find its area.
1.
Area = 12 × 8 = 96 cm².
Perimeter = 2(12+8) = 40 cm.
2.
Perimeter = 42 → 2(l+w) = 42 → l+w=21.
l = 12 → w=9.
Area = 12×9 = 108 cm².
3.
Perimeter = 4×15 = 60 cm.
Area = 15² = 225 cm².
4.
Let width = x, length = 2x.
Perimeter = 2(2x+x) = 6x = 60 → x=10.
Length=20, width=10.
Area = 20×10 = 200 cm².
5.
Area = ½×18×12 = 108 cm².
6.
Sides form Pythagoras triple (9,12,15). Right triangle.
Area = ½×9×12 = 54 cm².
7.
s = (8+10+12)/2 = 15.
Area = √[15(15−8)(15−10)(15−12)] = √[15×7×5×3] = √1575 ≈ 39.7 cm².
8.
Area=160, base=20.
Height=2×160/20=16 cm.
9.
Area=14×9= 126 cm².
10.
Area=12×6=72 cm².
Perimeter=2(12+8)=40 cm.
11.
Area=½(8+12)×5=½×20×5= 50 cm².
12.
Perimeter=15+25+10+12= 62 cm.
13.
Area=½(18+22)×h=20h.
20h=240 → h=12 cm.
14.
Area=½×16×12= 96 cm².
15.
Area=40×28= 1120 m².
16.
Area=288, base=24.
Height=288/24=12 cm.
17.
Area=126, base=14.
Height=2×126/14=18 m.
18.
s=(13+14+15)/2=21.
Area=√[21(21−13)(21−14)(21−15)] = √[21×8×7×6] = √7056 = 84 m².
19.
Area=½(6+10)×4=½×16×4= 32 m².
20.
Area=½×10×24= 120 cm².
21.
Side=√2500=50.
Perimeter=4×50= 200 m.
22.
Area=432, base=36.
Height=2×432/36=24 cm.
23.
Area=20×9= 180 cm².
24.
Area=300, parallel sides=18+12=30.
Height=2×300/30=20 cm.
25.
Sides (7,24,25) → right triangle.
Area=½×7×24= 84 cm².
26.
d² = l²+w² → 25²= l²+15² → l²=625−225=400 → l=20.
Area=20×15=300 cm².
Perimeter=2(20+15)=70 cm.
27.
Area=½×30×16=240 cm².
28.
Area=120=½×12×d₂ → 6d₂=120 → d₂=20 cm.
29.
Perimeter=64 → 2(l+w)=64 → l+w=32.
l=18 → w=14.
Area=18×14= 252 cm².
30.
Area=½(40+60)×25=½×100×25= 1250 m².