Question

the area of a parallelogram and a square are the same .if the perimeterof the square is 100m and height of the parallelogram is 15m. find the length of the corresponding base of the parallelogram.​

Answer 1

Answer:

base=41.66m

Step-by-step explanation:

Perimeter of the square = 100m

4s = 100m

s = 100/4

s = 25m

side of the square = 25m

Area of the square = s*s

= 25* 25

= 625m^2

Area of the square = Area of the parallelogram

Area of parallelogram = 625m^2

b*h = 625m^2

b*15 = 625

b = 625/15

b = 41.66m

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Answer 2

• Length of base of parallelogram is 41.66 (approx) m.

Step-by-step explanation:

Given :-

• Perimeter of square is 100 m.
• Height of parallelogram is 15 m.

To find:-

• Length of corresponding base of the parallelogram.

Solution:-

• We need side for area of square. So, first we will find side using perimeter of square.

Perimeter of square = 4 × Side

$\longrightarrow$ 100 = 4 × Side

$\longrightarrow$ 100/4 = Side

$\longrightarrow$ 25 = Side

Or, $\longrightarrow$ Side = 25

Side of square is 25 m.

Area of square = Side × Side

$\longrightarrow$ 25 × 25

$\longrightarrow$ 625

Area of square is 625 m².

• It is given that, Area of parallelogram and area of square are same.

So, Area of parallelogram is 625 m².

Area of parallelogram = B×h

• Here, b and h are corresponding base and height of parallelogram.

So, Putting Area of parallelogram and height of parallelogram in formula :

$\longrightarrow$ 625 = Base × 15

$\longrightarrow$ 625/15 = Base

$\longrightarrow$ 41.66 = Base

Or, $\longrightarrow$ Base = 41.66

Therefore,

Length of corresponding base of parallelogram is 41.66 (approx) m.