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Westkost [7]
3 years ago
13

A rectangle is twice as long as it is wide and its perimeter is 432cm

Mathematics
1 answer:
dezoksy [38]3 years ago
5 0
<h3><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u><u>-</u></h3>

Let

  • Width of rectangle=x
  • Length of rectangle=2x
  • Perimeter=432cm

We know that in a rectangle

☆ Perimeter=2(Length+Breadth)

\\ \sf\longmapsto 2(x+2x)=432

\\ \sf\longmapsto 2x+4x=432

\\ \sf\longmapsto 6x=432

\\ \sf\longmapsto x=\dfrac{432}{6}

\\ \sf\longmapsto x=72

\\ \sf\longmapsto 2x=2(72)=144

  • Length=144cm
  • Breadth=72cm

☆Area=Length×Breadth

\\ \sf\longmapsto Area=144\times 72

\\ \sf\longmapsto Area=10368cm^2

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Find the surface area of each figure (spheres and hemispheres)
xenn [34]

Answer:

7. 1520.53 cm²

8. 232.35 ft²

9. 706.86 m²

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12. 1,847.25 mi²

Step-by-step explanation:

Recall:

Surface area of sphere = 4πr²

Surface area of hemisphere = 2πr² + πr²

7. r = 11 cm

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)

8. r = ½(8.6) = 4.3 ft

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)

9. r = ½(15) = 7.5 m

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10. r = ½(42) = 21 mm

Plug in the value into the formula

Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44

= 4,156.32 mm²

11. r = 9.1 m

Plug in the value into the formula

Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15

= 780.46 m²

12. r = 14 mi

Plug in the value into the formula

Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75

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8 0
3 years ago
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1 year ago
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schepotkina [342]
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