Question

If the diagonal of a rectangle is 25m long and perimeter of the rectangle is 70m.Find the area of rectangle.??

Answer 1

I think you got your ans.

Answer 2

The area of rectangle = 300 $m^{2}$

Step-by-step explanation:

Diagonal of a rectangle = 25 m

Perimeter of rectangle  = 70 m

Now

     Perimeter = 70 m

    2(l + b)       = 70 m

     l + b          = $\frac{70}{2}$ m

     l + b          = 35 m

Now

by using Pythagoras Theorem -

$(Diagonal)^{2}$ = $(Base)^{2}$ + $(Perpendicular)^{2}$

$(AC)^{2}$  = $(AB)^{2}$ + $(BC)^{2}$

$(AC)^{2}$  =  $(l)^{2}$  + $(b)^{2}$

and adding both side 2lb

$(AC)^{2}$ + 2lb  = $l^{2}$ + $b^{2}$ + 2lb

$(25)^{2}$  + 2lb   = $(l + b)^{2}$

$(25)^{2}$  + 2lb   = $(35)^{2}$

2lb = 1225 - 625

 lb = 600

l × b = 300 $m^{2}$

Area of rectangle = 300 $m^{2}$

Know more

Q.1.- Area of rectangle and perimeter of rectangle

Click here- https://brainly.in/question/14854076

Q.2.- What is the formula for area of outer rectangle and area of in a rectangle?

Click here- https://brainly.in/question/5420048

Q.3.- Area of square and rectangle is sama if the perimeter of rectangle is 26cm what is area of square and rectangle

Click here- https://brainly.in/question/3010224