Question

1. The length of a rectangular plot is 6 m less than thrice its breadth. Find the
dimensions of the plot if its perimeter is 148 m.
2. Two complementary angles differ by 20°. Find the measure of each angle.​

Answer 1

Answer:

1. Length = 54 m and Breadth = 20 m.

2. Complementary Angles are 55° and 35°

Step-by-step explanation:

1.

Let's assume that the breadth of the rectangular plot is x.

According to the problem:

Length of the rectangular plot is 3x - 6

Perimeter = 2(x + 3x - 6) = 148

=> 4x - 6 = 74

∴ x = $\frac{80}{4}$  = 20

∴ 3x - 6 = 60 - 6 = 54

Length = 54 m and Breadth = 20 m.

2. Let's assume that one of the complementary angles is x

∴ the other complementary angles is (90° - x)

According to the problem:

x - (90° - x) = 20°

=> 2x = 110°

∴ x = 55°

∴ 90° - x = 90° - 55° = 35°