Question

The area of a rectangle is 96m2 and has a perimeter of 39,2m. Determine the dimensions of the rectangle

Answer 1

Answer:

) Length = 24.5 m

) Length = 24.5 mBreadth = 18 m

) Length = 24.5 mBreadth = 18 m

) Length = 24.5 mBreadth = 18 m ∴ Area of the rectangle = Length × Breadth

) Length = 24.5 mBreadth = 18 m ∴ Area of the rectangle = Length × Breadth = 24.5 m × 18 m

) Length = 24.5 mBreadth = 18 m ∴ Area of the rectangle = Length × Breadth = 24.5 m × 18 m = 441 m2

) Length = 24.5 mBreadth = 18 m ∴ Area of the rectangle = Length × Breadth = 24.5 m × 18 m = 441 m2

) Length = 24.5 mBreadth = 18 m ∴ Area of the rectangle = Length × Breadth = 24.5 m × 18 m = 441 m2 (ii) Length = 12.5 m

) Length = 24.5 mBreadth = 18 m ∴ Area of the rectangle = Length × Breadth = 24.5 m × 18 m = 441 m2 (ii) Length = 12.5 mBreadth = 8 dm = (8 × 10) = 80 cm = 0.8 m [since 1 dm = 10 cm and 1 m = 100 cm]

) Length = 24.5 mBreadth = 18 m ∴ Area of the rectangle = Length × Breadth = 24.5 m × 18 m = 441 m2 (ii) Length = 12.5 mBreadth = 8 dm = (8 × 10) = 80 cm = 0.8 m [since 1 dm = 10 cm and 1 m = 100 cm]

) Length = 24.5 mBreadth = 18 m ∴ Area of the rectangle = Length × Breadth = 24.5 m × 18 m = 441 m2 (ii) Length = 12.5 mBreadth = 8 dm = (8 × 10) = 80 cm = 0.8 m [since 1 dm = 10 cm and 1 m = 100 cm] ∴ Area of the rectangle = Length × Breadth

) Length = 24.5 mBreadth = 18 m ∴ Area of the rectangle = Length × Breadth = 24.5 m × 18 m = 441 m2 (ii) Length = 12.5 mBreadth = 8 dm = (8 × 10) = 80 cm = 0.8 m [since 1 dm = 10 cm and 1 m = 100 cm] ∴ Area of the rectangle = Length × Breadth = 12.5 m × 0.8 m

) Length = 24.5 mBreadth = 18 m ∴ Area of the rectangle = Length × Breadth = 24.5 m × 18 m = 441 m2 (ii) Length = 12.5 mBreadth = 8 dm = (8 × 10) = 80 cm = 0.8 m [since 1 dm = 10 cm and 1 m = 100 cm] ∴ Area of the rectangle = Length × Breadth = 12.5 m × 0.8 m = 10 m2

Answer 2

In context to question asked,

We have to determine the dimensions of the rectangle.

As per question,

Area of rectangle $=96\:m^2$

Perimeter of rectangle = 39.2 cm

As we know that,

$Area = lb\\Perimeter = 2(l+b)$

So,

$2(l+b) = 39.2\\=>l+b = \frac{39.2}{2} = 19.6\\=> l = 19.6 -b ------(1)$

$lb = 96\\=>(19.6 - b)\times b = 96\\=>19.6b -b^2=96\\=>b^2-19.6b+96=0\\=>b^2-10b-9.6b+96=0\\=>b(b-10)-9.6(b-10)=0\\=>(b-9.6)(b-10)=0\\=>b = 9.6, 10$

Hence, dimension of rectangle will be 9.6 m and 10 m