The length and breadth of a rectangle are (3x+4)cm and (4x-13)cm respectively if the perimeter of the rectangle is 94 cm, then its area is
Answers
Answer:
perimeter of the rectangle is 94 cm, then its area is. (a) 432 cm2 (b) 512 cm2 (c) 542 cm2 (d) 532 cm. Here, l = (3x + 4) cm, b = (4x − 13) cm and Perimeter of rectangle = 94 cm. Hence, the correct option is (d).
Given,
Length of a rectangle = (3x+4) cm
The breadth of a rectangle = (4x-13) cm
The perimeter of the rectangle = 94 cm
The perimeter of the rectangle = 94 cmTo find,
The area of the rectangle.
Solution,
The area of the rectangle will be 532 cm².
We can easily solve this problem by following the given steps.
According to the question,
Length of a rectangle = (3x+4) cm
The breadth of a rectangle = (4x-13) cm
The perimeter of the rectangle = 94 cm
We know that the formula to find the perimeter of a rectangle is given as follows:
P = 2(length+breadth)
2(3x+4+4x-13) = 94
2(7x-9) = 94
(7x-9) = 94/2
(7x-9) = 47
7x = (47+9)
7x = 56
x = 56/7
x = 8
Now,
Length of the rectangle = (3x+4) cm
L = (3×8+4) cm
L = (24+4) cm
L = 28 cm
The breadth of the rectangle = (4x-13) cm
Breadth = (4×8-13) cm
Breadth = (32-13) cm
Breadth = 19 cm
Now,
Area of rectangle= Length × breadth
A = (28×19) cm²
A = 532 cm²
Hence, the area of the rectangle is 532 cm².