Question

The area of a parallelogram is equal to the area of a square whose perimeter is 180m.
If the height of the parallelogram is 27m, then find its corresponding base.​

Answer 1

Answer:

75 m

Step-by-step explanation:

perimeter of square= 4×side

= 180= 4×side

= side = 180/4 = 45m

area of square = side^2 = 45×45 = 2025m^2

according to question, area of square= area of parallelogram

so area of parallelogram= 2025m^2

area of parallelogram= b×h

= 2025= b× 27

= b = 2025/27= 75m

so length of corresponding base of height 27m of parallelogram is 75 m

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Answer 2

Answer:

perimeter of the square = 180cm

4× side = 180 m

$side = \frac{180}{4} m = 45m$

Area of the square = (side)² = (45m)²

= (45×45)m²

Area of the parallelogram = Area of the square

Base × Height = (45×45)m²

Base × 27m = (45×45)m²

$base \: = \frac{45 \times 45}{27} m$

= 75 m

✅ HENCE,THE BASE OF THE PARALLELOGRAM CORRESPONDING TO THE HEIGHT 27 m IS 75 m