Question

find the area of the agriculture field abcdef whose measurements in metres are given in figure which abde is a rectangle and angle c=90​

Answer 1

The area of the agriculture field ABCDEF in which ABDE is a rectangle and angle c=90 is 57500 m².

Step-by-step explanation:

Referring to the figure given above we have

ABDE is a rectangle  

AFE is a triangle with a perpendicular height of 40 m

BCD is a right-angled triangle with angle C = 90°

Step 1: Rectangle ABDE

Length of the rectangle = 250 m

Breadth of the rectangle = 150 m

∴ Area of the rectangle ABDE = length * breadth = 250 * 150 = 37500 m²

Step 2: Triangle AFE

Base of the triangle = 250 m

Height of the triangle = 40 m

∴ Area of the ∆ AFE = ½  * base * height = ½ * 250 * 40 = 5000 m²

Step 3: Triangle BCD

Since ∠C = 90°

So,  

Base of the triangle = 150 m  

Perpendicular height of the triangle = 200 m

∴ Area of the ∆ BCD = ½  * base * height = ½ * 150 * 200 = 15000 m²

Step 4:

Thus,  

The area of the agricultural field ABCDEF is given by,

= [Area of the rectangle ABDE] + [Area of the ∆ AFE] + [Area of the ∆ BCD]

= 37500 + 5000 + 15000

= 57500 m²

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Answer 2

Answer:

The answer is 57,500 sq m